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Finding the Fourth Proportional to 720.89, 1,081.79 and 310.11

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Solution

The fourth proportional to 720.89, 1,081.79 and 310.11 is: 465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.89 : 1,081.79 = 310.11 : x
  2. Step 2: Convert to fraction form
    720.89/1,081.79 = 310.11/x
  3. Step 3: Cross multiply
    720.89x = 1,081.79 × 310.11
  4. Step 4: Simplify right side
    720.89x = 335,472.35
  5. Step 5: Solve for x
    x = 335,472.35/720.89
  6. Step 6: Final answer
    x = 465.36

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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.