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Finding the Fourth Proportional to 1,103.61, 1,656.06 and 410.75

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Solution

The fourth proportional to 1,103.61, 1,656.06 and 410.75 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.61 : 1,656.06 = 410.75 : x
  2. Step 2: Convert to fraction form
    1,103.61/1,656.06 = 410.75/x
  3. Step 3: Cross multiply
    1,103.61x = 1,656.06 × 410.75
  4. Step 4: Simplify right side
    1,103.61x = 680,230.79
  5. Step 5: Solve for x
    x = 680,230.79/1,103.61
  6. Step 6: Final answer
    x = 616.37

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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.