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Finding the Fourth Proportional to 1,103.58, 1,655.42 and 281.87

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Solution

The fourth proportional to 1,103.58, 1,655.42 and 281.87 is: 422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.58 : 1,655.42 = 281.87 : x
  2. Step 2: Convert to fraction form
    1,103.58/1,655.42 = 281.87/x
  3. Step 3: Cross multiply
    1,103.58x = 1,655.42 × 281.87
  4. Step 4: Simplify right side
    1,103.58x = 466,603.55
  5. Step 5: Solve for x
    x = 466,603.55/1,103.58
  6. Step 6: Final answer
    x = 422.81

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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.