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Finding the Fourth Proportional to 1,380.20, 1,904.65 and 750.71

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Solution

The fourth proportional to 1,380.20, 1,904.65 and 750.71 is: 1,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.20 : 1,904.65 = 750.71 : x
  2. Step 2: Convert to fraction form
    1,380.20/1,904.65 = 750.71/x
  3. Step 3: Cross multiply
    1,380.20x = 1,904.65 × 750.71
  4. Step 4: Simplify right side
    1,380.20x = 1,429,842.69
  5. Step 5: Solve for x
    x = 1,429,842.69/1,380.20
  6. Step 6: Final answer
    x = 1,035.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.