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Finding the Fourth Proportional to 1,344.05, 1,854.33 and 813.09

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Solution

The fourth proportional to 1,344.05, 1,854.33 and 813.09 is: 1,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.05 : 1,854.33 = 813.09 : x
  2. Step 2: Convert to fraction form
    1,344.05/1,854.33 = 813.09/x
  3. Step 3: Cross multiply
    1,344.05x = 1,854.33 × 813.09
  4. Step 4: Simplify right side
    1,344.05x = 1,507,737.18
  5. Step 5: Solve for x
    x = 1,507,737.18/1,344.05
  6. Step 6: Final answer
    x = 1,121.79

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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.