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Finding the Fourth Proportional to 1,255.65, 1,881.57 and 994.56

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Solution

The fourth proportional to 1,255.65, 1,881.57 and 994.56 is: 1,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.65 : 1,881.57 = 994.56 : x
  2. Step 2: Convert to fraction form
    1,255.65/1,881.57 = 994.56/x
  3. Step 3: Cross multiply
    1,255.65x = 1,881.57 × 994.56
  4. Step 4: Simplify right side
    1,255.65x = 1,871,329.29
  5. Step 5: Solve for x
    x = 1,871,329.29/1,255.65
  6. Step 6: Final answer
    x = 1,490.33

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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.