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Finding the Fourth Proportional to 1,374.68, 2,061.77 and 400.55

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Solution

The fourth proportional to 1,374.68, 2,061.77 and 400.55 is: 600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.68 : 2,061.77 = 400.55 : x
  2. Step 2: Convert to fraction form
    1,374.68/2,061.77 = 400.55/x
  3. Step 3: Cross multiply
    1,374.68x = 2,061.77 × 400.55
  4. Step 4: Simplify right side
    1,374.68x = 825,848.13
  5. Step 5: Solve for x
    x = 825,848.13/1,374.68
  6. Step 6: Final answer
    x = 600.76

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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.