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Finding the Fourth Proportional to 686.67, 1,028.80 and 571.85

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Solution

The fourth proportional to 686.67, 1,028.80 and 571.85 is: 856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.67 : 1,028.80 = 571.85 : x
  2. Step 2: Convert to fraction form
    686.67/1,028.80 = 571.85/x
  3. Step 3: Cross multiply
    686.67x = 1,028.80 × 571.85
  4. Step 4: Simplify right side
    686.67x = 588,319.28
  5. Step 5: Solve for x
    x = 588,319.28/686.67
  6. Step 6: Final answer
    x = 856.77

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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.