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Finding the Fourth Proportional to 1,103.59, 1,656.19 and 844.34

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Solution

The fourth proportional to 1,103.59, 1,656.19 and 844.34 is: 1,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.59 : 1,656.19 = 844.34 : x
  2. Step 2: Convert to fraction form
    1,103.59/1,656.19 = 844.34/x
  3. Step 3: Cross multiply
    1,103.59x = 1,656.19 × 844.34
  4. Step 4: Simplify right side
    1,103.59x = 1,398,387.46
  5. Step 5: Solve for x
    x = 1,398,387.46/1,103.59
  6. Step 6: Final answer
    x = 1,267.13

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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.