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Finding the Fourth Proportional to 1,248.25, 1,871.32 and 836.13

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Solution

The fourth proportional to 1,248.25, 1,871.32 and 836.13 is: 1,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.25 : 1,871.32 = 836.13 : x
  2. Step 2: Convert to fraction form
    1,248.25/1,871.32 = 836.13/x
  3. Step 3: Cross multiply
    1,248.25x = 1,871.32 × 836.13
  4. Step 4: Simplify right side
    1,248.25x = 1,564,655.34
  5. Step 5: Solve for x
    x = 1,564,655.34/1,248.25
  6. Step 6: Final answer
    x = 1,253.48

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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.