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Finding the Fourth Proportional to 864.32, 1,296.84 and 431.84

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Solution

The fourth proportional to 864.32, 1,296.84 and 431.84 is: 647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,296.84 = 431.84 : x
  2. Step 2: Convert to fraction form
    864.32/1,296.84 = 431.84/x
  3. Step 3: Cross multiply
    864.32x = 1,296.84 × 431.84
  4. Step 4: Simplify right side
    864.32x = 560,027.39
  5. Step 5: Solve for x
    x = 560,027.39/864.32
  6. Step 6: Final answer
    x = 647.94

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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.