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Finding the Fourth Proportional to 1,275.90, 1,908.65 and 905.69

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Solution

The fourth proportional to 1,275.90, 1,908.65 and 905.69 is: 1,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.90 : 1,908.65 = 905.69 : x
  2. Step 2: Convert to fraction form
    1,275.90/1,908.65 = 905.69/x
  3. Step 3: Cross multiply
    1,275.90x = 1,908.65 × 905.69
  4. Step 4: Simplify right side
    1,275.90x = 1,728,631.15
  5. Step 5: Solve for x
    x = 1,728,631.15/1,275.90
  6. Step 6: Final answer
    x = 1,354.83

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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.