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Finding the Fourth Proportional to 1,350.81, 2,026.25 and 376.92

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Solution

The fourth proportional to 1,350.81, 2,026.25 and 376.92 is: 565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.81 : 2,026.25 = 376.92 : x
  2. Step 2: Convert to fraction form
    1,350.81/2,026.25 = 376.92/x
  3. Step 3: Cross multiply
    1,350.81x = 2,026.25 × 376.92
  4. Step 4: Simplify right side
    1,350.81x = 763,734.15
  5. Step 5: Solve for x
    x = 763,734.15/1,350.81
  6. Step 6: Final answer
    x = 565.39

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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.