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Finding the Fourth Proportional to 857.53, 1,183.40 and 464.56

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Solution

The fourth proportional to 857.53, 1,183.40 and 464.56 is: 641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.53 : 1,183.40 = 464.56 : x
  2. Step 2: Convert to fraction form
    857.53/1,183.40 = 464.56/x
  3. Step 3: Cross multiply
    857.53x = 1,183.40 × 464.56
  4. Step 4: Simplify right side
    857.53x = 549,756.76
  5. Step 5: Solve for x
    x = 549,756.76/857.53
  6. Step 6: Final answer
    x = 641.09

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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.