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Finding the Fourth Proportional to 1,760.64, 2,640.97 and 462.11

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Solution

The fourth proportional to 1,760.64, 2,640.97 and 462.11 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.64 : 2,640.97 = 462.11 : x
  2. Step 2: Convert to fraction form
    1,760.64/2,640.97 = 462.11/x
  3. Step 3: Cross multiply
    1,760.64x = 2,640.97 × 462.11
  4. Step 4: Simplify right side
    1,760.64x = 1,220,418.65
  5. Step 5: Solve for x
    x = 1,220,418.65/1,760.64
  6. Step 6: Final answer
    x = 693.17

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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.