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Finding the Fourth Proportional to 864.07, 1,296.27 and 401.56

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Solution

The fourth proportional to 864.07, 1,296.27 and 401.56 is: 602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.07 : 1,296.27 = 401.56 : x
  2. Step 2: Convert to fraction form
    864.07/1,296.27 = 401.56/x
  3. Step 3: Cross multiply
    864.07x = 1,296.27 × 401.56
  4. Step 4: Simplify right side
    864.07x = 520,526.94
  5. Step 5: Solve for x
    x = 520,526.94/864.07
  6. Step 6: Final answer
    x = 602.41

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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.