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Finding the Fourth Proportional to 867.35, 1,301.72 and 456.73

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Solution

The fourth proportional to 867.35, 1,301.72 and 456.73 is: 685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.35 : 1,301.72 = 456.73 : x
  2. Step 2: Convert to fraction form
    867.35/1,301.72 = 456.73/x
  3. Step 3: Cross multiply
    867.35x = 1,301.72 × 456.73
  4. Step 4: Simplify right side
    867.35x = 594,534.58
  5. Step 5: Solve for x
    x = 594,534.58/867.35
  6. Step 6: Final answer
    x = 685.46

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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.