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Finding the Fourth Proportional to 1,103.92, 1,656.05 and 410.54

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Solution

The fourth proportional to 1,103.92, 1,656.05 and 410.54 is: 615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.92 : 1,656.05 = 410.54 : x
  2. Step 2: Convert to fraction form
    1,103.92/1,656.05 = 410.54/x
  3. Step 3: Cross multiply
    1,103.92x = 1,656.05 × 410.54
  4. Step 4: Simplify right side
    1,103.92x = 679,864.43
  5. Step 5: Solve for x
    x = 679,864.43/1,103.92
  6. Step 6: Final answer
    x = 615.87

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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.