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Finding the Fourth Proportional to 1,374.58, 2,062.20 and 400.68

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Solution

The fourth proportional to 1,374.58, 2,062.20 and 400.68 is: 601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.58 : 2,062.20 = 400.68 : x
  2. Step 2: Convert to fraction form
    1,374.58/2,062.20 = 400.68/x
  3. Step 3: Cross multiply
    1,374.58x = 2,062.20 × 400.68
  4. Step 4: Simplify right side
    1,374.58x = 826,282.30
  5. Step 5: Solve for x
    x = 826,282.30/1,374.58
  6. Step 6: Final answer
    x = 601.12

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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.