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Finding the Fourth Proportional to 736.80, 1,016.28 and 457.04

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Solution

The fourth proportional to 736.80, 1,016.28 and 457.04 is: 630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,016.28 = 457.04 : x
  2. Step 2: Convert to fraction form
    736.80/1,016.28 = 457.04/x
  3. Step 3: Cross multiply
    736.80x = 1,016.28 × 457.04
  4. Step 4: Simplify right side
    736.80x = 464,483.15
  5. Step 5: Solve for x
    x = 464,483.15/736.80
  6. Step 6: Final answer
    x = 630.41

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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.