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Finding the Fourth Proportional to 1,040.49, 1,560.74 and 310.64

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Solution

The fourth proportional to 1,040.49, 1,560.74 and 310.64 is: 465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.49 : 1,560.74 = 310.64 : x
  2. Step 2: Convert to fraction form
    1,040.49/1,560.74 = 310.64/x
  3. Step 3: Cross multiply
    1,040.49x = 1,560.74 × 310.64
  4. Step 4: Simplify right side
    1,040.49x = 484,818.92
  5. Step 5: Solve for x
    x = 484,818.92/1,040.49
  6. Step 6: Final answer
    x = 465.95

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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.