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Finding the Fourth Proportional to 864.96, 1,296.36 and 402.12

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Solution

The fourth proportional to 864.96, 1,296.36 and 402.12 is: 602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.96 : 1,296.36 = 402.12 : x
  2. Step 2: Convert to fraction form
    864.96/1,296.36 = 402.12/x
  3. Step 3: Cross multiply
    864.96x = 1,296.36 × 402.12
  4. Step 4: Simplify right side
    864.96x = 521,292.28
  5. Step 5: Solve for x
    x = 521,292.28/864.96
  6. Step 6: Final answer
    x = 602.68

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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.