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Finding the Fourth Proportional to 1,248.32, 1,871.52 and 761.12

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Solution

The fourth proportional to 1,248.32, 1,871.52 and 761.12 is: 1,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.32 : 1,871.52 = 761.12 : x
  2. Step 2: Convert to fraction form
    1,248.32/1,871.52 = 761.12/x
  3. Step 3: Cross multiply
    1,248.32x = 1,871.52 × 761.12
  4. Step 4: Simplify right side
    1,248.32x = 1,424,451.30
  5. Step 5: Solve for x
    x = 1,424,451.30/1,248.32
  6. Step 6: Final answer
    x = 1,141.09

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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.