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Finding the Fourth Proportional to 781.95, 1,078.64 and 502.09

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Solution

The fourth proportional to 781.95, 1,078.64 and 502.09 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.95 : 1,078.64 = 502.09 : x
  2. Step 2: Convert to fraction form
    781.95/1,078.64 = 502.09/x
  3. Step 3: Cross multiply
    781.95x = 1,078.64 × 502.09
  4. Step 4: Simplify right side
    781.95x = 541,574.36
  5. Step 5: Solve for x
    x = 541,574.36/781.95
  6. Step 6: Final answer
    x = 692.59

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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.