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Finding the Fourth Proportional to 867.26, 1,301.24 and 456.66

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Solution

The fourth proportional to 867.26, 1,301.24 and 456.66 is: 685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.26 : 1,301.24 = 456.66 : x
  2. Step 2: Convert to fraction form
    867.26/1,301.24 = 456.66/x
  3. Step 3: Cross multiply
    867.26x = 1,301.24 × 456.66
  4. Step 4: Simplify right side
    867.26x = 594,224.26
  5. Step 5: Solve for x
    x = 594,224.26/867.26
  6. Step 6: Final answer
    x = 685.17

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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.