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Finding the Fourth Proportional to 1,103.80, 1,655.70 and 410.80

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Solution

The fourth proportional to 1,103.80, 1,655.70 and 410.80 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.80 : 1,655.70 = 410.80 : x
  2. Step 2: Convert to fraction form
    1,103.80/1,655.70 = 410.80/x
  3. Step 3: Cross multiply
    1,103.80x = 1,655.70 × 410.80
  4. Step 4: Simplify right side
    1,103.80x = 680,161.56
  5. Step 5: Solve for x
    x = 680,161.56/1,103.80
  6. Step 6: Final answer
    x = 616.20

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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.