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Finding the Fourth Proportional to 592.50, 886.11 and 527.97

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Solution

The fourth proportional to 592.50, 886.11 and 527.97 is: 789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.50 : 886.11 = 527.97 : x
  2. Step 2: Convert to fraction form
    592.50/886.11 = 527.97/x
  3. Step 3: Cross multiply
    592.50x = 886.11 × 527.97
  4. Step 4: Simplify right side
    592.50x = 467,839.50
  5. Step 5: Solve for x
    x = 467,839.50/592.50
  6. Step 6: Final answer
    x = 789.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.