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Finding the Fourth Proportional to 1,013.88, 1,397.88 and 827.19

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Solution

The fourth proportional to 1,013.88, 1,397.88 and 827.19 is: 1,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.88 : 1,397.88 = 827.19 : x
  2. Step 2: Convert to fraction form
    1,013.88/1,397.88 = 827.19/x
  3. Step 3: Cross multiply
    1,013.88x = 1,397.88 × 827.19
  4. Step 4: Simplify right side
    1,013.88x = 1,156,312.36
  5. Step 5: Solve for x
    x = 1,156,312.36/1,013.88
  6. Step 6: Final answer
    x = 1,140.48

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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.