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Finding the Fourth Proportional to 1,760.52, 2,640.80 and 606.28

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Solution

The fourth proportional to 1,760.52, 2,640.80 and 606.28 is: 909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.52 : 2,640.80 = 606.28 : x
  2. Step 2: Convert to fraction form
    1,760.52/2,640.80 = 606.28/x
  3. Step 3: Cross multiply
    1,760.52x = 2,640.80 × 606.28
  4. Step 4: Simplify right side
    1,760.52x = 1,601,064.22
  5. Step 5: Solve for x
    x = 1,601,064.22/1,760.52
  6. Step 6: Final answer
    x = 909.43

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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.