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Finding the Fourth Proportional to 864.88, 1,297.52 and 287.80

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Solution

The fourth proportional to 864.88, 1,297.52 and 287.80 is: 431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.88 : 1,297.52 = 287.80 : x
  2. Step 2: Convert to fraction form
    864.88/1,297.52 = 287.80/x
  3. Step 3: Cross multiply
    864.88x = 1,297.52 × 287.80
  4. Step 4: Simplify right side
    864.88x = 373,426.26
  5. Step 5: Solve for x
    x = 373,426.26/864.88
  6. Step 6: Final answer
    x = 431.77

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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.