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Finding the Fourth Proportional to 781.61, 1,166.97 and 703.85

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Solution

The fourth proportional to 781.61, 1,166.97 and 703.85 is: 1,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.61 : 1,166.97 = 703.85 : x
  2. Step 2: Convert to fraction form
    781.61/1,166.97 = 703.85/x
  3. Step 3: Cross multiply
    781.61x = 1,166.97 × 703.85
  4. Step 4: Simplify right side
    781.61x = 821,371.83
  5. Step 5: Solve for x
    x = 821,371.83/781.61
  6. Step 6: Final answer
    x = 1,050.87

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