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Finding the Fourth Proportional to 1,104.31, 1,656.49 and 410.62

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Solution

The fourth proportional to 1,104.31, 1,656.49 and 410.62 is: 615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.31 : 1,656.49 = 410.62 : x
  2. Step 2: Convert to fraction form
    1,104.31/1,656.49 = 410.62/x
  3. Step 3: Cross multiply
    1,104.31x = 1,656.49 × 410.62
  4. Step 4: Simplify right side
    1,104.31x = 680,187.92
  5. Step 5: Solve for x
    x = 680,187.92/1,104.31
  6. Step 6: Final answer
    x = 615.94

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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.