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Finding the Fourth Proportional to 720.67, 1,079.45 and 596.89

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Solution

The fourth proportional to 720.67, 1,079.45 and 596.89 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.67 : 1,079.45 = 596.89 : x
  2. Step 2: Convert to fraction form
    720.67/1,079.45 = 596.89/x
  3. Step 3: Cross multiply
    720.67x = 1,079.45 × 596.89
  4. Step 4: Simplify right side
    720.67x = 644,304.53
  5. Step 5: Solve for x
    x = 644,304.53/720.67
  6. Step 6: Final answer
    x = 894.04

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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.