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Finding the Fourth Proportional to 1,070.20, 1,603.14 and 781.84

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Solution

The fourth proportional to 1,070.20, 1,603.14 and 781.84 is: 1,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.20 : 1,603.14 = 781.84 : x
  2. Step 2: Convert to fraction form
    1,070.20/1,603.14 = 781.84/x
  3. Step 3: Cross multiply
    1,070.20x = 1,603.14 × 781.84
  4. Step 4: Simplify right side
    1,070.20x = 1,253,398.98
  5. Step 5: Solve for x
    x = 1,253,398.98/1,070.20
  6. Step 6: Final answer
    x = 1,171.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.