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Finding the Fourth Proportional to 864.88, 1,296.72 and 431.68

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Solution

The fourth proportional to 864.88, 1,296.72 and 431.68 is: 647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.88 : 1,296.72 = 431.68 : x
  2. Step 2: Convert to fraction form
    864.88/1,296.72 = 431.68/x
  3. Step 3: Cross multiply
    864.88x = 1,296.72 × 431.68
  4. Step 4: Simplify right side
    864.88x = 559,768.09
  5. Step 5: Solve for x
    x = 559,768.09/864.88
  6. Step 6: Final answer
    x = 647.22

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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.