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Finding the Fourth Proportional to 1,040.54, 1,560.88 and 310.19

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Solution

The fourth proportional to 1,040.54, 1,560.88 and 310.19 is: 465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.54 : 1,560.88 = 310.19 : x
  2. Step 2: Convert to fraction form
    1,040.54/1,560.88 = 310.19/x
  3. Step 3: Cross multiply
    1,040.54x = 1,560.88 × 310.19
  4. Step 4: Simplify right side
    1,040.54x = 484,169.37
  5. Step 5: Solve for x
    x = 484,169.37/1,040.54
  6. Step 6: Final answer
    x = 465.31

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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.