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Finding the Fourth Proportional to 1,269.69, 1,752.06 and 797.67

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Solution

The fourth proportional to 1,269.69, 1,752.06 and 797.67 is: 1,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.69 : 1,752.06 = 797.67 : x
  2. Step 2: Convert to fraction form
    1,269.69/1,752.06 = 797.67/x
  3. Step 3: Cross multiply
    1,269.69x = 1,752.06 × 797.67
  4. Step 4: Simplify right side
    1,269.69x = 1,397,565.70
  5. Step 5: Solve for x
    x = 1,397,565.70/1,269.69
  6. Step 6: Final answer
    x = 1,100.71

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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.