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Finding the Fourth Proportional to 736.31, 1,016.00 and 456.66

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Solution

The fourth proportional to 736.31, 1,016.00 and 456.66 is: 630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.31 : 1,016.00 = 456.66 : x
  2. Step 2: Convert to fraction form
    736.31/1,016.00 = 456.66/x
  3. Step 3: Cross multiply
    736.31x = 1,016.00 × 456.66
  4. Step 4: Simplify right side
    736.31x = 463,962.18
  5. Step 5: Solve for x
    x = 463,962.18/736.31
  6. Step 6: Final answer
    x = 630.12

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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.