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Finding the Fourth Proportional to 867.66, 1,300.89 and 731.58

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Solution

The fourth proportional to 867.66, 1,300.89 and 731.58 is: 1,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.66 : 1,300.89 = 731.58 : x
  2. Step 2: Convert to fraction form
    867.66/1,300.89 = 731.58/x
  3. Step 3: Cross multiply
    867.66x = 1,300.89 × 731.58
  4. Step 4: Simplify right side
    867.66x = 951,701.45
  5. Step 5: Solve for x
    x = 951,701.45/867.66
  6. Step 6: Final answer
    x = 1,096.86

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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.