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Finding the Fourth Proportional to 1,052.18, 1,578.26 and 793.83

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Solution

The fourth proportional to 1,052.18, 1,578.26 and 793.83 is: 1,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.18 : 1,578.26 = 793.83 : x
  2. Step 2: Convert to fraction form
    1,052.18/1,578.26 = 793.83/x
  3. Step 3: Cross multiply
    1,052.18x = 1,578.26 × 793.83
  4. Step 4: Simplify right side
    1,052.18x = 1,252,866.17
  5. Step 5: Solve for x
    x = 1,252,866.17/1,052.18
  6. Step 6: Final answer
    x = 1,190.74

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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.