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Finding the Fourth Proportional to 717.84, 1,074.33 and 508.46

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Solution

The fourth proportional to 717.84, 1,074.33 and 508.46 is: 760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 1,074.33 = 508.46 : x
  2. Step 2: Convert to fraction form
    717.84/1,074.33 = 508.46/x
  3. Step 3: Cross multiply
    717.84x = 1,074.33 × 508.46
  4. Step 4: Simplify right side
    717.84x = 546,248.46
  5. Step 5: Solve for x
    x = 546,248.46/717.84
  6. Step 6: Final answer
    x = 760.96

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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.