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Finding the Fourth Proportional to 1,388.69, 1,916.38 and 759.22

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Solution

The fourth proportional to 1,388.69, 1,916.38 and 759.22 is: 1,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.69 : 1,916.38 = 759.22 : x
  2. Step 2: Convert to fraction form
    1,388.69/1,916.38 = 759.22/x
  3. Step 3: Cross multiply
    1,388.69x = 1,916.38 × 759.22
  4. Step 4: Simplify right side
    1,388.69x = 1,454,963.10
  5. Step 5: Solve for x
    x = 1,454,963.10/1,388.69
  6. Step 6: Final answer
    x = 1,047.72

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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.