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Finding the Fourth Proportional to 1,035.43, 1,424.65 and 895.09

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Solution

The fourth proportional to 1,035.43, 1,424.65 and 895.09 is: 1,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.43 : 1,424.65 = 895.09 : x
  2. Step 2: Convert to fraction form
    1,035.43/1,424.65 = 895.09/x
  3. Step 3: Cross multiply
    1,035.43x = 1,424.65 × 895.09
  4. Step 4: Simplify right side
    1,035.43x = 1,275,189.97
  5. Step 5: Solve for x
    x = 1,275,189.97/1,035.43
  6. Step 6: Final answer
    x = 1,231.56

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Why These Related Problems?

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