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Finding the Fourth Proportional to 867.51, 1,302.89 and 763.43

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Solution

The fourth proportional to 867.51, 1,302.89 and 763.43 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.51 : 1,302.89 = 763.43 : x
  2. Step 2: Convert to fraction form
    867.51/1,302.89 = 763.43/x
  3. Step 3: Cross multiply
    867.51x = 1,302.89 × 763.43
  4. Step 4: Simplify right side
    867.51x = 994,654.98
  5. Step 5: Solve for x
    x = 994,654.98/867.51
  6. Step 6: Final answer
    x = 1,146.56

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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.