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Finding the Fourth Proportional to 857.69, 1,183.58 and 464.70

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Solution

The fourth proportional to 857.69, 1,183.58 and 464.70 is: 641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.69 : 1,183.58 = 464.70 : x
  2. Step 2: Convert to fraction form
    857.69/1,183.58 = 464.70/x
  3. Step 3: Cross multiply
    857.69x = 1,183.58 × 464.70
  4. Step 4: Simplify right side
    857.69x = 550,013.48
  5. Step 5: Solve for x
    x = 550,013.48/857.69
  6. Step 6: Final answer
    x = 641.27

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Double scale
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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.