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Finding the Fourth Proportional to 723.62, 1,086.15 and 435.26

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Solution

The fourth proportional to 723.62, 1,086.15 and 435.26 is: 653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 1,086.15 = 435.26 : x
  2. Step 2: Convert to fraction form
    723.62/1,086.15 = 435.26/x
  3. Step 3: Cross multiply
    723.62x = 1,086.15 × 435.26
  4. Step 4: Simplify right side
    723.62x = 472,757.65
  5. Step 5: Solve for x
    x = 472,757.65/723.62
  6. Step 6: Final answer
    x = 653.32

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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.