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Finding the Fourth Proportional to 1,170.90, 1,614.22 and 834.98

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Solution

The fourth proportional to 1,170.90, 1,614.22 and 834.98 is: 1,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.90 : 1,614.22 = 834.98 : x
  2. Step 2: Convert to fraction form
    1,170.90/1,614.22 = 834.98/x
  3. Step 3: Cross multiply
    1,170.90x = 1,614.22 × 834.98
  4. Step 4: Simplify right side
    1,170.90x = 1,347,841.42
  5. Step 5: Solve for x
    x = 1,347,841.42/1,170.90
  6. Step 6: Final answer
    x = 1,151.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.