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Finding the Fourth Proportional to 781.84, 1,172.88 and 371.38

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Solution

The fourth proportional to 781.84, 1,172.88 and 371.38 is: 557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,172.88 = 371.38 : x
  2. Step 2: Convert to fraction form
    781.84/1,172.88 = 371.38/x
  3. Step 3: Cross multiply
    781.84x = 1,172.88 × 371.38
  4. Step 4: Simplify right side
    781.84x = 435,584.17
  5. Step 5: Solve for x
    x = 435,584.17/781.84
  6. Step 6: Final answer
    x = 557.13

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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.