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Finding the Fourth Proportional to 1,103.14, 1,655.57 and 410.31

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Solution

The fourth proportional to 1,103.14, 1,655.57 and 410.31 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.14 : 1,655.57 = 410.31 : x
  2. Step 2: Convert to fraction form
    1,103.14/1,655.57 = 410.31/x
  3. Step 3: Cross multiply
    1,103.14x = 1,655.57 × 410.31
  4. Step 4: Simplify right side
    1,103.14x = 679,296.93
  5. Step 5: Solve for x
    x = 679,296.93/1,103.14
  6. Step 6: Final answer
    x = 615.78

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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.