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Finding the Fourth Proportional to 857.74, 1,183.68 and 464.76

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Solution

The fourth proportional to 857.74, 1,183.68 and 464.76 is: 641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,183.68 = 464.76 : x
  2. Step 2: Convert to fraction form
    857.74/1,183.68 = 464.76/x
  3. Step 3: Cross multiply
    857.74x = 1,183.68 × 464.76
  4. Step 4: Simplify right side
    857.74x = 550,133.30
  5. Step 5: Solve for x
    x = 550,133.30/857.74
  6. Step 6: Final answer
    x = 641.37

Related Problems

Find fourth proportional to 428.87, 591.84 and 232.38
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.