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Finding the Fourth Proportional to 781.70, 1,172.69 and 396.95

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Solution

The fourth proportional to 781.70, 1,172.69 and 396.95 is: 595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.70 : 1,172.69 = 396.95 : x
  2. Step 2: Convert to fraction form
    781.70/1,172.69 = 396.95/x
  3. Step 3: Cross multiply
    781.70x = 1,172.69 × 396.95
  4. Step 4: Simplify right side
    781.70x = 465,491.45
  5. Step 5: Solve for x
    x = 465,491.45/781.70
  6. Step 6: Final answer
    x = 595.49

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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.