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Finding the Fourth Proportional to 1,344.44, 1,854.86 and 839.95

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Solution

The fourth proportional to 1,344.44, 1,854.86 and 839.95 is: 1,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.44 : 1,854.86 = 839.95 : x
  2. Step 2: Convert to fraction form
    1,344.44/1,854.86 = 839.95/x
  3. Step 3: Cross multiply
    1,344.44x = 1,854.86 × 839.95
  4. Step 4: Simplify right side
    1,344.44x = 1,557,981.65
  5. Step 5: Solve for x
    x = 1,557,981.65/1,344.44
  6. Step 6: Final answer
    x = 1,158.84

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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.