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Finding the Fourth Proportional to 867.73, 1,301.29 and 538.16

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Solution

The fourth proportional to 867.73, 1,301.29 and 538.16 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.73 : 1,301.29 = 538.16 : x
  2. Step 2: Convert to fraction form
    867.73/1,301.29 = 538.16/x
  3. Step 3: Cross multiply
    867.73x = 1,301.29 × 538.16
  4. Step 4: Simplify right side
    867.73x = 700,304.13
  5. Step 5: Solve for x
    x = 700,304.13/867.73
  6. Step 6: Final answer
    x = 807.06

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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.