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Finding the Fourth Proportional to 1,175.76, 1,760.20 and 1,098.81

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Solution

The fourth proportional to 1,175.76, 1,760.20 and 1,098.81 is: 1,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.76 : 1,760.20 = 1,098.81 : x
  2. Step 2: Convert to fraction form
    1,175.76/1,760.20 = 1,098.81/x
  3. Step 3: Cross multiply
    1,175.76x = 1,760.20 × 1,098.81
  4. Step 4: Simplify right side
    1,175.76x = 1,934,122.61
  5. Step 5: Solve for x
    x = 1,934,122.61/1,175.76
  6. Step 6: Final answer
    x = 1,645.00

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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.