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Finding the Fourth Proportional to 736.37, 1,016.52 and 457

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Solution

The fourth proportional to 736.37, 1,016.52 and 457 is: 630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.37 : 1,016.52 = 457 : x
  2. Step 2: Convert to fraction form
    736.37/1,016.52 = 457/x
  3. Step 3: Cross multiply
    736.37x = 1,016.52 × 457
  4. Step 4: Simplify right side
    736.37x = 464,549.64
  5. Step 5: Solve for x
    x = 464,549.64/736.37
  6. Step 6: Final answer
    x = 630.86

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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.