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Finding the Fourth Proportional to 1,329.26, 1,834.54 and 997.14

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Solution

The fourth proportional to 1,329.26, 1,834.54 and 997.14 is: 1,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.26 : 1,834.54 = 997.14 : x
  2. Step 2: Convert to fraction form
    1,329.26/1,834.54 = 997.14/x
  3. Step 3: Cross multiply
    1,329.26x = 1,834.54 × 997.14
  4. Step 4: Simplify right side
    1,329.26x = 1,829,293.22
  5. Step 5: Solve for x
    x = 1,829,293.22/1,329.26
  6. Step 6: Final answer
    x = 1,376.17

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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.