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Finding the Fourth Proportional to 1,344.25, 1,854.44 and 951.49

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Solution

The fourth proportional to 1,344.25, 1,854.44 and 951.49 is: 1,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.25 : 1,854.44 = 951.49 : x
  2. Step 2: Convert to fraction form
    1,344.25/1,854.44 = 951.49/x
  3. Step 3: Cross multiply
    1,344.25x = 1,854.44 × 951.49
  4. Step 4: Simplify right side
    1,344.25x = 1,764,476.36
  5. Step 5: Solve for x
    x = 1,764,476.36/1,344.25
  6. Step 6: Final answer
    x = 1,312.61

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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.