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Finding the Fourth Proportional to 1,254.30, 1,882.89 and 871.26

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Solution

The fourth proportional to 1,254.30, 1,882.89 and 871.26 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.30 : 1,882.89 = 871.26 : x
  2. Step 2: Convert to fraction form
    1,254.30/1,882.89 = 871.26/x
  3. Step 3: Cross multiply
    1,254.30x = 1,882.89 × 871.26
  4. Step 4: Simplify right side
    1,254.30x = 1,640,486.74
  5. Step 5: Solve for x
    x = 1,640,486.74/1,254.30
  6. Step 6: Final answer
    x = 1,307.89

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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.