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Finding the Fourth Proportional to 1,374.60, 2,062.22 and 450.15

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Solution

The fourth proportional to 1,374.60, 2,062.22 and 450.15 is: 675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.60 : 2,062.22 = 450.15 : x
  2. Step 2: Convert to fraction form
    1,374.60/2,062.22 = 450.15/x
  3. Step 3: Cross multiply
    1,374.60x = 2,062.22 × 450.15
  4. Step 4: Simplify right side
    1,374.60x = 928,306.08
  5. Step 5: Solve for x
    x = 928,306.08/1,374.60
  6. Step 6: Final answer
    x = 675.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.