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Finding the Fourth Proportional to 1,181.78, 1,760.55 and 1,128.48

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Solution

The fourth proportional to 1,181.78, 1,760.55 and 1,128.48 is: 1,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.78 : 1,760.55 = 1,128.48 : x
  2. Step 2: Convert to fraction form
    1,181.78/1,760.55 = 1,128.48/x
  3. Step 3: Cross multiply
    1,181.78x = 1,760.55 × 1,128.48
  4. Step 4: Simplify right side
    1,181.78x = 1,986,737.80
  5. Step 5: Solve for x
    x = 1,986,737.80/1,181.78
  6. Step 6: Final answer
    x = 1,681.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.