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Finding the Fourth Proportional to 867.38, 1,301.23 and 434.53

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Solution

The fourth proportional to 867.38, 1,301.23 and 434.53 is: 651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.38 : 1,301.23 = 434.53 : x
  2. Step 2: Convert to fraction form
    867.38/1,301.23 = 434.53/x
  3. Step 3: Cross multiply
    867.38x = 1,301.23 × 434.53
  4. Step 4: Simplify right side
    867.38x = 565,425.64
  5. Step 5: Solve for x
    x = 565,425.64/867.38
  6. Step 6: Final answer
    x = 651.88

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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.