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Finding the Fourth Proportional to 928.97, 1,282.01 and 535.89

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Solution

The fourth proportional to 928.97, 1,282.01 and 535.89 is: 739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.97 : 1,282.01 = 535.89 : x
  2. Step 2: Convert to fraction form
    928.97/1,282.01 = 535.89/x
  3. Step 3: Cross multiply
    928.97x = 1,282.01 × 535.89
  4. Step 4: Simplify right side
    928.97x = 687,013.66
  5. Step 5: Solve for x
    x = 687,013.66/928.97
  6. Step 6: Final answer
    x = 739.55

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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.