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Finding the Fourth Proportional to 1,040.43, 1,560.87 and 310.05

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Solution

The fourth proportional to 1,040.43, 1,560.87 and 310.05 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.43 : 1,560.87 = 310.05 : x
  2. Step 2: Convert to fraction form
    1,040.43/1,560.87 = 310.05/x
  3. Step 3: Cross multiply
    1,040.43x = 1,560.87 × 310.05
  4. Step 4: Simplify right side
    1,040.43x = 483,947.74
  5. Step 5: Solve for x
    x = 483,947.74/1,040.43
  6. Step 6: Final answer
    x = 465.14

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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.