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Finding the Fourth Proportional to 1,201.78, 1,658.19 and 809.92

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Solution

The fourth proportional to 1,201.78, 1,658.19 and 809.92 is: 1,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.78 : 1,658.19 = 809.92 : x
  2. Step 2: Convert to fraction form
    1,201.78/1,658.19 = 809.92/x
  3. Step 3: Cross multiply
    1,201.78x = 1,658.19 × 809.92
  4. Step 4: Simplify right side
    1,201.78x = 1,343,001.24
  5. Step 5: Solve for x
    x = 1,343,001.24/1,201.78
  6. Step 6: Final answer
    x = 1,117.51

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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.