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Finding the Fourth Proportional to 781.68, 1,166.38 and 755.26

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Solution

The fourth proportional to 781.68, 1,166.38 and 755.26 is: 1,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,166.38 = 755.26 : x
  2. Step 2: Convert to fraction form
    781.68/1,166.38 = 755.26/x
  3. Step 3: Cross multiply
    781.68x = 1,166.38 × 755.26
  4. Step 4: Simplify right side
    781.68x = 880,915.35
  5. Step 5: Solve for x
    x = 880,915.35/781.68
  6. Step 6: Final answer
    x = 1,126.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.