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Finding the Fourth Proportional to 717.14, 1,074.72 and 498.98

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Solution

The fourth proportional to 717.14, 1,074.72 and 498.98 is: 747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.14 : 1,074.72 = 498.98 : x
  2. Step 2: Convert to fraction form
    717.14/1,074.72 = 498.98/x
  3. Step 3: Cross multiply
    717.14x = 1,074.72 × 498.98
  4. Step 4: Simplify right side
    717.14x = 536,263.79
  5. Step 5: Solve for x
    x = 536,263.79/717.14
  6. Step 6: Final answer
    x = 747.78

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Why These Related Problems?

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