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Finding the Fourth Proportional to 867.27, 1,301.52 and 501.57

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Solution

The fourth proportional to 867.27, 1,301.52 and 501.57 is: 752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.27 : 1,301.52 = 501.57 : x
  2. Step 2: Convert to fraction form
    867.27/1,301.52 = 501.57/x
  3. Step 3: Cross multiply
    867.27x = 1,301.52 × 501.57
  4. Step 4: Simplify right side
    867.27x = 652,803.39
  5. Step 5: Solve for x
    x = 652,803.39/867.27
  6. Step 6: Final answer
    x = 752.71

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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.