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Finding the Fourth Proportional to 928.31, 1,280.66 and 592.11

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Solution

The fourth proportional to 928.31, 1,280.66 and 592.11 is: 816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.31 : 1,280.66 = 592.11 : x
  2. Step 2: Convert to fraction form
    928.31/1,280.66 = 592.11/x
  3. Step 3: Cross multiply
    928.31x = 1,280.66 × 592.11
  4. Step 4: Simplify right side
    928.31x = 758,288.63
  5. Step 5: Solve for x
    x = 758,288.63/928.31
  6. Step 6: Final answer
    x = 816.85

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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.