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Finding the Fourth Proportional to 717.50, 1,076.47 and 498.35

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Solution

The fourth proportional to 717.50, 1,076.47 and 498.35 is: 747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.50 : 1,076.47 = 498.35 : x
  2. Step 2: Convert to fraction form
    717.50/1,076.47 = 498.35/x
  3. Step 3: Cross multiply
    717.50x = 1,076.47 × 498.35
  4. Step 4: Simplify right side
    717.50x = 536,460.27
  5. Step 5: Solve for x
    x = 536,460.27/717.50
  6. Step 6: Final answer
    x = 747.68

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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.