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Finding the Fourth Proportional to 757.16, 1,134.08 and 562.47

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Solution

The fourth proportional to 757.16, 1,134.08 and 562.47 is: 842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.16 : 1,134.08 = 562.47 : x
  2. Step 2: Convert to fraction form
    757.16/1,134.08 = 562.47/x
  3. Step 3: Cross multiply
    757.16x = 1,134.08 × 562.47
  4. Step 4: Simplify right side
    757.16x = 637,884.41
  5. Step 5: Solve for x
    x = 637,884.41/757.16
  6. Step 6: Final answer
    x = 842.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.