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Finding the Fourth Proportional to 1,002.12, 1,502.94 and 271.76

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Solution

The fourth proportional to 1,002.12, 1,502.94 and 271.76 is: 407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.12 : 1,502.94 = 271.76 : x
  2. Step 2: Convert to fraction form
    1,002.12/1,502.94 = 271.76/x
  3. Step 3: Cross multiply
    1,002.12x = 1,502.94 × 271.76
  4. Step 4: Simplify right side
    1,002.12x = 408,431.46
  5. Step 5: Solve for x
    x = 408,431.46/1,002.12
  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.