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Finding the Fourth Proportional to 932.87, 1,401.15 and 586.82

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Solution

The fourth proportional to 932.87, 1,401.15 and 586.82 is: 881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.87 : 1,401.15 = 586.82 : x
  2. Step 2: Convert to fraction form
    932.87/1,401.15 = 586.82/x
  3. Step 3: Cross multiply
    932.87x = 1,401.15 × 586.82
  4. Step 4: Simplify right side
    932.87x = 822,222.84
  5. Step 5: Solve for x
    x = 822,222.84/932.87
  6. Step 6: Final answer
    x = 881.39

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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.