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Finding the Fourth Proportional to 928, 1,280.68 and 514

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Solution

The fourth proportional to 928, 1,280.68 and 514 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    928 : 1,280.68 = 514 : x
  2. Step 2: Convert to fraction form
    928/1,280.68 = 514/x
  3. Step 3: Cross multiply
    928x = 1,280.68 × 514
  4. Step 4: Simplify right side
    928x = 658,269.52
  5. Step 5: Solve for x
    x = 658,269.52/928
  6. Step 6: Final answer
    x = 709.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.