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Finding the Fourth Proportional to 1,103.92, 1,655.52 and 556.40

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Solution

The fourth proportional to 1,103.92, 1,655.52 and 556.40 is: 834.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.92 : 1,655.52 = 556.40 : x
  2. Step 2: Convert to fraction form
    1,103.92/1,655.52 = 556.40/x
  3. Step 3: Cross multiply
    1,103.92x = 1,655.52 × 556.40
  4. Step 4: Simplify right side
    1,103.92x = 921,131.33
  5. Step 5: Solve for x
    x = 921,131.33/1,103.92
  6. Step 6: Final answer
    x = 834.42

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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.