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Finding the Fourth Proportional to 1,103.40, 1,655.05 and 281.63

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Solution

The fourth proportional to 1,103.40, 1,655.05 and 281.63 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.40 : 1,655.05 = 281.63 : x
  2. Step 2: Convert to fraction form
    1,103.40/1,655.05 = 281.63/x
  3. Step 3: Cross multiply
    1,103.40x = 1,655.05 × 281.63
  4. Step 4: Simplify right side
    1,103.40x = 466,111.73
  5. Step 5: Solve for x
    x = 466,111.73/1,103.40
  6. Step 6: Final answer
    x = 422.43

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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.