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Finding the Fourth Proportional to 1,053.76, 1,578.66 and 793.84

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Solution

The fourth proportional to 1,053.76, 1,578.66 and 793.84 is: 1,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.76 : 1,578.66 = 793.84 : x
  2. Step 2: Convert to fraction form
    1,053.76/1,578.66 = 793.84/x
  3. Step 3: Cross multiply
    1,053.76x = 1,578.66 × 793.84
  4. Step 4: Simplify right side
    1,053.76x = 1,253,203.45
  5. Step 5: Solve for x
    x = 1,253,203.45/1,053.76
  6. Step 6: Final answer
    x = 1,189.27

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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.