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Finding the Fourth Proportional to 1,344.20, 1,854.90 and 754.65

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Solution

The fourth proportional to 1,344.20, 1,854.90 and 754.65 is: 1,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.20 : 1,854.90 = 754.65 : x
  2. Step 2: Convert to fraction form
    1,344.20/1,854.90 = 754.65/x
  3. Step 3: Cross multiply
    1,344.20x = 1,854.90 × 754.65
  4. Step 4: Simplify right side
    1,344.20x = 1,399,800.29
  5. Step 5: Solve for x
    x = 1,399,800.29/1,344.20
  6. Step 6: Final answer
    x = 1,041.37

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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.