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Finding the Fourth Proportional to 1,149.82, 1,723.17 and 840.22

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Solution

The fourth proportional to 1,149.82, 1,723.17 and 840.22 is: 1,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.82 : 1,723.17 = 840.22 : x
  2. Step 2: Convert to fraction form
    1,149.82/1,723.17 = 840.22/x
  3. Step 3: Cross multiply
    1,149.82x = 1,723.17 × 840.22
  4. Step 4: Simplify right side
    1,149.82x = 1,447,841.90
  5. Step 5: Solve for x
    x = 1,447,841.90/1,149.82
  6. Step 6: Final answer
    x = 1,259.19

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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.