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Finding the Fourth Proportional to 1,394.26, 1,924.01 and 834.39

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Solution

The fourth proportional to 1,394.26, 1,924.01 and 834.39 is: 1,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.26 : 1,924.01 = 834.39 : x
  2. Step 2: Convert to fraction form
    1,394.26/1,924.01 = 834.39/x
  3. Step 3: Cross multiply
    1,394.26x = 1,924.01 × 834.39
  4. Step 4: Simplify right side
    1,394.26x = 1,605,374.70
  5. Step 5: Solve for x
    x = 1,605,374.70/1,394.26
  6. Step 6: Final answer
    x = 1,151.42

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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.