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Finding the Fourth Proportional to 1,254.75, 1,882.14 and 342.75

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Solution

The fourth proportional to 1,254.75, 1,882.14 and 342.75 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.75 : 1,882.14 = 342.75 : x
  2. Step 2: Convert to fraction form
    1,254.75/1,882.14 = 342.75/x
  3. Step 3: Cross multiply
    1,254.75x = 1,882.14 × 342.75
  4. Step 4: Simplify right side
    1,254.75x = 645,103.49
  5. Step 5: Solve for x
    x = 645,103.49/1,254.75
  6. Step 6: Final answer
    x = 514.13

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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.