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Finding the Fourth Proportional to 1,369.60, 1,891.61 and 998.23

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Solution

The fourth proportional to 1,369.60, 1,891.61 and 998.23 is: 1,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.60 : 1,891.61 = 998.23 : x
  2. Step 2: Convert to fraction form
    1,369.60/1,891.61 = 998.23/x
  3. Step 3: Cross multiply
    1,369.60x = 1,891.61 × 998.23
  4. Step 4: Simplify right side
    1,369.60x = 1,888,261.85
  5. Step 5: Solve for x
    x = 1,888,261.85/1,369.60
  6. Step 6: Final answer
    x = 1,378.70

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1.5x scale

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.