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Finding the Fourth Proportional to 864.72, 1,297.32 and 769.20

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Solution

The fourth proportional to 864.72, 1,297.32 and 769.20 is: 1,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.72 : 1,297.32 = 769.20 : x
  2. Step 2: Convert to fraction form
    864.72/1,297.32 = 769.20/x
  3. Step 3: Cross multiply
    864.72x = 1,297.32 × 769.20
  4. Step 4: Simplify right side
    864.72x = 997,898.54
  5. Step 5: Solve for x
    x = 997,898.54/864.72
  6. Step 6: Final answer
    x = 1,154.01

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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.