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Finding the Fourth Proportional to 1,103.46, 1,655.82 and 487.32

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Solution

The fourth proportional to 1,103.46, 1,655.82 and 487.32 is: 731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.46 : 1,655.82 = 487.32 : x
  2. Step 2: Convert to fraction form
    1,103.46/1,655.82 = 487.32/x
  3. Step 3: Cross multiply
    1,103.46x = 1,655.82 × 487.32
  4. Step 4: Simplify right side
    1,103.46x = 806,914.20
  5. Step 5: Solve for x
    x = 806,914.20/1,103.46
  6. Step 6: Final answer
    x = 731.26

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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.