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Finding the Fourth Proportional to 756.52, 1,134.79 and 498.17

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Solution

The fourth proportional to 756.52, 1,134.79 and 498.17 is: 747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.52 : 1,134.79 = 498.17 : x
  2. Step 2: Convert to fraction form
    756.52/1,134.79 = 498.17/x
  3. Step 3: Cross multiply
    756.52x = 1,134.79 × 498.17
  4. Step 4: Simplify right side
    756.52x = 565,319.93
  5. Step 5: Solve for x
    x = 565,319.93/756.52
  6. Step 6: Final answer
    x = 747.27

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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.