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Finding the Fourth Proportional to 1,386.86, 1,913.76 and 827.26

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Solution

The fourth proportional to 1,386.86, 1,913.76 and 827.26 is: 1,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.86 : 1,913.76 = 827.26 : x
  2. Step 2: Convert to fraction form
    1,386.86/1,913.76 = 827.26/x
  3. Step 3: Cross multiply
    1,386.86x = 1,913.76 × 827.26
  4. Step 4: Simplify right side
    1,386.86x = 1,583,177.10
  5. Step 5: Solve for x
    x = 1,583,177.10/1,386.86
  6. Step 6: Final answer
    x = 1,141.56

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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.