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Finding the Fourth Proportional to 1,397.72, 2,095.38 and 780.92

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Solution

The fourth proportional to 1,397.72, 2,095.38 and 780.92 is: 1,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.72 : 2,095.38 = 780.92 : x
  2. Step 2: Convert to fraction form
    1,397.72/2,095.38 = 780.92/x
  3. Step 3: Cross multiply
    1,397.72x = 2,095.38 × 780.92
  4. Step 4: Simplify right side
    1,397.72x = 1,636,324.15
  5. Step 5: Solve for x
    x = 1,636,324.15/1,397.72
  6. Step 6: Final answer
    x = 1,170.71

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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.