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Finding the Fourth Proportional to 928.77, 1,282.11 and 614.19

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Solution

The fourth proportional to 928.77, 1,282.11 and 614.19 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.77 : 1,282.11 = 614.19 : x
  2. Step 2: Convert to fraction form
    928.77/1,282.11 = 614.19/x
  3. Step 3: Cross multiply
    928.77x = 1,282.11 × 614.19
  4. Step 4: Simplify right side
    928.77x = 787,459.14
  5. Step 5: Solve for x
    x = 787,459.14/928.77
  6. Step 6: Final answer
    x = 847.85

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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.