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Finding the Fourth Proportional to 1,391.20, 1,919.64 and 801.82

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Solution

The fourth proportional to 1,391.20, 1,919.64 and 801.82 is: 1,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.20 : 1,919.64 = 801.82 : x
  2. Step 2: Convert to fraction form
    1,391.20/1,919.64 = 801.82/x
  3. Step 3: Cross multiply
    1,391.20x = 1,919.64 × 801.82
  4. Step 4: Simplify right side
    1,391.20x = 1,539,205.74
  5. Step 5: Solve for x
    x = 1,539,205.74/1,391.20
  6. Step 6: Final answer
    x = 1,106.39

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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.