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Finding the Fourth Proportional to 1,294.29, 1,785.88 and 727.11

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Solution

The fourth proportional to 1,294.29, 1,785.88 and 727.11 is: 1,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.29 : 1,785.88 = 727.11 : x
  2. Step 2: Convert to fraction form
    1,294.29/1,785.88 = 727.11/x
  3. Step 3: Cross multiply
    1,294.29x = 1,785.88 × 727.11
  4. Step 4: Simplify right side
    1,294.29x = 1,298,531.21
  5. Step 5: Solve for x
    x = 1,298,531.21/1,294.29
  6. Step 6: Final answer
    x = 1,003.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.