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Finding the Fourth Proportional to 736.56, 1,016.08 and 471.02

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Solution

The fourth proportional to 736.56, 1,016.08 and 471.02 is: 649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.56 : 1,016.08 = 471.02 : x
  2. Step 2: Convert to fraction form
    736.56/1,016.08 = 471.02/x
  3. Step 3: Cross multiply
    736.56x = 1,016.08 × 471.02
  4. Step 4: Simplify right side
    736.56x = 478,587.74
  5. Step 5: Solve for x
    x = 478,587.74/736.56
  6. Step 6: Final answer
    x = 649.76

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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.