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Finding the Fourth Proportional to 736.59, 1,016.52 and 456.96

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Solution

The fourth proportional to 736.59, 1,016.52 and 456.96 is: 630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.59 : 1,016.52 = 456.96 : x
  2. Step 2: Convert to fraction form
    736.59/1,016.52 = 456.96/x
  3. Step 3: Cross multiply
    736.59x = 1,016.52 × 456.96
  4. Step 4: Simplify right side
    736.59x = 464,509.24
  5. Step 5: Solve for x
    x = 464,509.24/736.59
  6. Step 6: Final answer
    x = 630.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.