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Finding the Fourth Proportional to 1,760.16, 2,640.78 and 606

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Solution

The fourth proportional to 1,760.16, 2,640.78 and 606 is: 909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.16 : 2,640.78 = 606 : x
  2. Step 2: Convert to fraction form
    1,760.16/2,640.78 = 606/x
  3. Step 3: Cross multiply
    1,760.16x = 2,640.78 × 606
  4. Step 4: Simplify right side
    1,760.16x = 1,600,312.68
  5. Step 5: Solve for x
    x = 1,600,312.68/1,760.16
  6. Step 6: Final answer
    x = 909.19

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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.