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Finding the Fourth Proportional to 781.69, 1,077.02 and 519.25

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Solution

The fourth proportional to 781.69, 1,077.02 and 519.25 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.69 : 1,077.02 = 519.25 : x
  2. Step 2: Convert to fraction form
    781.69/1,077.02 = 519.25/x
  3. Step 3: Cross multiply
    781.69x = 1,077.02 × 519.25
  4. Step 4: Simplify right side
    781.69x = 559,242.64
  5. Step 5: Solve for x
    x = 559,242.64/781.69
  6. Step 6: Final answer
    x = 715.43

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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.