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Finding the Fourth Proportional to 723.96, 1,086.06 and 291.42

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Solution

The fourth proportional to 723.96, 1,086.06 and 291.42 is: 437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.96 : 1,086.06 = 291.42 : x
  2. Step 2: Convert to fraction form
    723.96/1,086.06 = 291.42/x
  3. Step 3: Cross multiply
    723.96x = 1,086.06 × 291.42
  4. Step 4: Simplify right side
    723.96x = 316,499.61
  5. Step 5: Solve for x
    x = 316,499.61/723.96
  6. Step 6: Final answer
    x = 437.18

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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.