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Finding the Fourth Proportional to 720.96, 993.24 and 589.20

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Solution

The fourth proportional to 720.96, 993.24 and 589.20 is: 811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 993.24 = 589.20 : x
  2. Step 2: Convert to fraction form
    720.96/993.24 = 589.20/x
  3. Step 3: Cross multiply
    720.96x = 993.24 × 589.20
  4. Step 4: Simplify right side
    720.96x = 585,217.01
  5. Step 5: Solve for x
    x = 585,217.01/720.96
  6. Step 6: Final answer
    x = 811.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.