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Finding the Fourth Proportional to 864.85, 1,297.23 and 287.71

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Solution

The fourth proportional to 864.85, 1,297.23 and 287.71 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.85 : 1,297.23 = 287.71 : x
  2. Step 2: Convert to fraction form
    864.85/1,297.23 = 287.71/x
  3. Step 3: Cross multiply
    864.85x = 1,297.23 × 287.71
  4. Step 4: Simplify right side
    864.85x = 373,226.04
  5. Step 5: Solve for x
    x = 373,226.04/864.85
  6. Step 6: Final answer
    x = 431.55

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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.