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Finding the Fourth Proportional to 1,040.92, 1,561.41 and 310.51

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Solution

The fourth proportional to 1,040.92, 1,561.41 and 310.51 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.92 : 1,561.41 = 310.51 : x
  2. Step 2: Convert to fraction form
    1,040.92/1,561.41 = 310.51/x
  3. Step 3: Cross multiply
    1,040.92x = 1,561.41 × 310.51
  4. Step 4: Simplify right side
    1,040.92x = 484,833.42
  5. Step 5: Solve for x
    x = 484,833.42/1,040.92
  6. Step 6: Final answer
    x = 465.77

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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.