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Finding the Fourth Proportional to 928.38, 1,278.98 and 763.55

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Solution

The fourth proportional to 928.38, 1,278.98 and 763.55 is: 1,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.38 : 1,278.98 = 763.55 : x
  2. Step 2: Convert to fraction form
    928.38/1,278.98 = 763.55/x
  3. Step 3: Cross multiply
    928.38x = 1,278.98 × 763.55
  4. Step 4: Simplify right side
    928.38x = 976,554.97
  5. Step 5: Solve for x
    x = 976,554.97/928.38
  6. Step 6: Final answer
    x = 1,051.89

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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.