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Finding the Fourth Proportional to 1,002.03, 1,503.14 and 271.61

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Solution

The fourth proportional to 1,002.03, 1,503.14 and 271.61 is: 407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.03 : 1,503.14 = 271.61 : x
  2. Step 2: Convert to fraction form
    1,002.03/1,503.14 = 271.61/x
  3. Step 3: Cross multiply
    1,002.03x = 1,503.14 × 271.61
  4. Step 4: Simplify right side
    1,002.03x = 408,267.86
  5. Step 5: Solve for x
    x = 408,267.86/1,002.03
  6. Step 6: Final answer
    x = 407.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.