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Finding the Fourth Proportional to 994.55, 1,491.01 and 864.24

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Solution

The fourth proportional to 994.55, 1,491.01 and 864.24 is: 1,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.55 : 1,491.01 = 864.24 : x
  2. Step 2: Convert to fraction form
    994.55/1,491.01 = 864.24/x
  3. Step 3: Cross multiply
    994.55x = 1,491.01 × 864.24
  4. Step 4: Simplify right side
    994.55x = 1,288,582.73
  5. Step 5: Solve for x
    x = 1,288,582.73/994.55
  6. Step 6: Final answer
    x = 1,295.65

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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.