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Finding the Fourth Proportional to 801.05, 1,102.23 and 780.71

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Solution

The fourth proportional to 801.05, 1,102.23 and 780.71 is: 1,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.05 : 1,102.23 = 780.71 : x
  2. Step 2: Convert to fraction form
    801.05/1,102.23 = 780.71/x
  3. Step 3: Cross multiply
    801.05x = 1,102.23 × 780.71
  4. Step 4: Simplify right side
    801.05x = 860,516.47
  5. Step 5: Solve for x
    x = 860,516.47/801.05
  6. Step 6: Final answer
    x = 1,074.24

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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.