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Finding the Fourth Proportional to 864.27, 1,297.01 and 498.56

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Solution

The fourth proportional to 864.27, 1,297.01 and 498.56 is: 748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.27 : 1,297.01 = 498.56 : x
  2. Step 2: Convert to fraction form
    864.27/1,297.01 = 498.56/x
  3. Step 3: Cross multiply
    864.27x = 1,297.01 × 498.56
  4. Step 4: Simplify right side
    864.27x = 646,632.07
  5. Step 5: Solve for x
    x = 646,632.07/864.27
  6. Step 6: Final answer
    x = 748.18

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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.