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Finding the Fourth Proportional to 781.94, 1,079.17 and 502.07

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Solution

The fourth proportional to 781.94, 1,079.17 and 502.07 is: 692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.94 : 1,079.17 = 502.07 : x
  2. Step 2: Convert to fraction form
    781.94/1,079.17 = 502.07/x
  3. Step 3: Cross multiply
    781.94x = 1,079.17 × 502.07
  4. Step 4: Simplify right side
    781.94x = 541,818.88
  5. Step 5: Solve for x
    x = 541,818.88/781.94
  6. Step 6: Final answer
    x = 692.92

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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.