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Finding the Fourth Proportional to 726.92, 1,090.31 and 288.08

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Solution

The fourth proportional to 726.92, 1,090.31 and 288.08 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.92 : 1,090.31 = 288.08 : x
  2. Step 2: Convert to fraction form
    726.92/1,090.31 = 288.08/x
  3. Step 3: Cross multiply
    726.92x = 1,090.31 × 288.08
  4. Step 4: Simplify right side
    726.92x = 314,098.39
  5. Step 5: Solve for x
    x = 314,098.39/726.92
  6. Step 6: Final answer
    x = 432.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.