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Finding the Fourth Proportional to 1,132.96, 1,697.46 and 806.62

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Solution

The fourth proportional to 1,132.96, 1,697.46 and 806.62 is: 1,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.96 : 1,697.46 = 806.62 : x
  2. Step 2: Convert to fraction form
    1,132.96/1,697.46 = 806.62/x
  3. Step 3: Cross multiply
    1,132.96x = 1,697.46 × 806.62
  4. Step 4: Simplify right side
    1,132.96x = 1,369,205.19
  5. Step 5: Solve for x
    x = 1,369,205.19/1,132.96
  6. Step 6: Final answer
    x = 1,208.52

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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.