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Finding the Fourth Proportional to 766.93, 1,154.57 and 698.89

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Solution

The fourth proportional to 766.93, 1,154.57 and 698.89 is: 1,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.93 : 1,154.57 = 698.89 : x
  2. Step 2: Convert to fraction form
    766.93/1,154.57 = 698.89/x
  3. Step 3: Cross multiply
    766.93x = 1,154.57 × 698.89
  4. Step 4: Simplify right side
    766.93x = 806,917.43
  5. Step 5: Solve for x
    x = 806,917.43/766.93
  6. Step 6: Final answer
    x = 1,052.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.