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Finding the Fourth Proportional to 1,002.13, 1,503.01 and 271.75

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Solution

The fourth proportional to 1,002.13, 1,503.01 and 271.75 is: 407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.13 : 1,503.01 = 271.75 : x
  2. Step 2: Convert to fraction form
    1,002.13/1,503.01 = 271.75/x
  3. Step 3: Cross multiply
    1,002.13x = 1,503.01 × 271.75
  4. Step 4: Simplify right side
    1,002.13x = 408,442.97
  5. Step 5: Solve for x
    x = 408,442.97/1,002.13
  6. Step 6: Final answer
    x = 407.57

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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.