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Finding the Fourth Proportional to 928.38, 1,281.06 and 535.53

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Solution

The fourth proportional to 928.38, 1,281.06 and 535.53 is: 738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.38 : 1,281.06 = 535.53 : x
  2. Step 2: Convert to fraction form
    928.38/1,281.06 = 535.53/x
  3. Step 3: Cross multiply
    928.38x = 1,281.06 × 535.53
  4. Step 4: Simplify right side
    928.38x = 686,046.06
  5. Step 5: Solve for x
    x = 686,046.06/928.38
  6. Step 6: Final answer
    x = 738.97

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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.