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Finding the Fourth Proportional to 1,387.03, 1,913.87 and 827.48

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Solution

The fourth proportional to 1,387.03, 1,913.87 and 827.48 is: 1,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.03 : 1,913.87 = 827.48 : x
  2. Step 2: Convert to fraction form
    1,387.03/1,913.87 = 827.48/x
  3. Step 3: Cross multiply
    1,387.03x = 1,913.87 × 827.48
  4. Step 4: Simplify right side
    1,387.03x = 1,583,689.15
  5. Step 5: Solve for x
    x = 1,583,689.15/1,387.03
  6. Step 6: Final answer
    x = 1,141.78

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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.