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Finding the Fourth Proportional to 724.36, 1,086.66 and 291.46

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Solution

The fourth proportional to 724.36, 1,086.66 and 291.46 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 1,086.66 = 291.46 : x
  2. Step 2: Convert to fraction form
    724.36/1,086.66 = 291.46/x
  3. Step 3: Cross multiply
    724.36x = 1,086.66 × 291.46
  4. Step 4: Simplify right side
    724.36x = 316,717.92
  5. Step 5: Solve for x
    x = 316,717.92/724.36
  6. Step 6: Final answer
    x = 437.24

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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.