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Finding the Fourth Proportional to 1,350.42, 2,025.65 and 376.68

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Solution

The fourth proportional to 1,350.42, 2,025.65 and 376.68 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.42 : 2,025.65 = 376.68 : x
  2. Step 2: Convert to fraction form
    1,350.42/2,025.65 = 376.68/x
  3. Step 3: Cross multiply
    1,350.42x = 2,025.65 × 376.68
  4. Step 4: Simplify right side
    1,350.42x = 763,019.96
  5. Step 5: Solve for x
    x = 763,019.96/1,350.42
  6. Step 6: Final answer
    x = 565.02

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