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Finding the Fourth Proportional to 864.24, 1,296.90 and 431.43

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Solution

The fourth proportional to 864.24, 1,296.90 and 431.43 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.24 : 1,296.90 = 431.43 : x
  2. Step 2: Convert to fraction form
    864.24/1,296.90 = 431.43/x
  3. Step 3: Cross multiply
    864.24x = 1,296.90 × 431.43
  4. Step 4: Simplify right side
    864.24x = 559,521.57
  5. Step 5: Solve for x
    x = 559,521.57/864.24
  6. Step 6: Final answer
    x = 647.41

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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.