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Finding the Fourth Proportional to 1,201.91, 1,658.18 and 808.31

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Solution

The fourth proportional to 1,201.91, 1,658.18 and 808.31 is: 1,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.91 : 1,658.18 = 808.31 : x
  2. Step 2: Convert to fraction form
    1,201.91/1,658.18 = 808.31/x
  3. Step 3: Cross multiply
    1,201.91x = 1,658.18 × 808.31
  4. Step 4: Simplify right side
    1,201.91x = 1,340,323.48
  5. Step 5: Solve for x
    x = 1,340,323.48/1,201.91
  6. Step 6: Final answer
    x = 1,115.16

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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.