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Finding the Fourth Proportional to 867.13, 1,301.08 and 456.17

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Solution

The fourth proportional to 867.13, 1,301.08 and 456.17 is: 684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.13 : 1,301.08 = 456.17 : x
  2. Step 2: Convert to fraction form
    867.13/1,301.08 = 456.17/x
  3. Step 3: Cross multiply
    867.13x = 1,301.08 × 456.17
  4. Step 4: Simplify right side
    867.13x = 593,513.66
  5. Step 5: Solve for x
    x = 593,513.66/867.13
  6. Step 6: Final answer
    x = 684.46

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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.