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Finding the Fourth Proportional to 723.94, 1,086.10 and 291.22

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Solution

The fourth proportional to 723.94, 1,086.10 and 291.22 is: 436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.94 : 1,086.10 = 291.22 : x
  2. Step 2: Convert to fraction form
    723.94/1,086.10 = 291.22/x
  3. Step 3: Cross multiply
    723.94x = 1,086.10 × 291.22
  4. Step 4: Simplify right side
    723.94x = 316,294.04
  5. Step 5: Solve for x
    x = 316,294.04/723.94
  6. Step 6: Final answer
    x = 436.91

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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.