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Finding the Fourth Proportional to 1,132.70, 1,697.43 and 843.98

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Solution

The fourth proportional to 1,132.70, 1,697.43 and 843.98 is: 1,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.70 : 1,697.43 = 843.98 : x
  2. Step 2: Convert to fraction form
    1,132.70/1,697.43 = 843.98/x
  3. Step 3: Cross multiply
    1,132.70x = 1,697.43 × 843.98
  4. Step 4: Simplify right side
    1,132.70x = 1,432,596.97
  5. Step 5: Solve for x
    x = 1,432,596.97/1,132.70
  6. Step 6: Final answer
    x = 1,264.76

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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.