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Finding the Fourth Proportional to 736.98, 1,017.12 and 457.40

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Solution

The fourth proportional to 736.98, 1,017.12 and 457.40 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.98 : 1,017.12 = 457.40 : x
  2. Step 2: Convert to fraction form
    736.98/1,017.12 = 457.40/x
  3. Step 3: Cross multiply
    736.98x = 1,017.12 × 457.40
  4. Step 4: Simplify right side
    736.98x = 465,230.69
  5. Step 5: Solve for x
    x = 465,230.69/736.98
  6. Step 6: Final answer
    x = 631.27

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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.