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Finding the Fourth Proportional to 1,760.62, 2,639.76 and 606.10

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Solution

The fourth proportional to 1,760.62, 2,639.76 and 606.10 is: 908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.62 : 2,639.76 = 606.10 : x
  2. Step 2: Convert to fraction form
    1,760.62/2,639.76 = 606.10/x
  3. Step 3: Cross multiply
    1,760.62x = 2,639.76 × 606.10
  4. Step 4: Simplify right side
    1,760.62x = 1,599,958.54
  5. Step 5: Solve for x
    x = 1,599,958.54/1,760.62
  6. Step 6: Final answer
    x = 908.75

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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.