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Finding the Fourth Proportional to 1,103.81, 1,655.72 and 487.38

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Solution

The fourth proportional to 1,103.81, 1,655.72 and 487.38 is: 731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.81 : 1,655.72 = 487.38 : x
  2. Step 2: Convert to fraction form
    1,103.81/1,655.72 = 487.38/x
  3. Step 3: Cross multiply
    1,103.81x = 1,655.72 × 487.38
  4. Step 4: Simplify right side
    1,103.81x = 806,964.81
  5. Step 5: Solve for x
    x = 806,964.81/1,103.81
  6. Step 6: Final answer
    x = 731.07

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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.