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Finding the Fourth Proportional to 1,696.43, 2,543.56 and 709.92

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Solution

The fourth proportional to 1,696.43, 2,543.56 and 709.92 is: 1,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.43 : 2,543.56 = 709.92 : x
  2. Step 2: Convert to fraction form
    1,696.43/2,543.56 = 709.92/x
  3. Step 3: Cross multiply
    1,696.43x = 2,543.56 × 709.92
  4. Step 4: Simplify right side
    1,696.43x = 1,805,722.34
  5. Step 5: Solve for x
    x = 1,805,722.34/1,696.43
  6. Step 6: Final answer
    x = 1,064.42

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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.