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Finding the Fourth Proportional to 1,418.78, 2,128.47 and 541.55

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Solution

The fourth proportional to 1,418.78, 2,128.47 and 541.55 is: 812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.78 : 2,128.47 = 541.55 : x
  2. Step 2: Convert to fraction form
    1,418.78/2,128.47 = 541.55/x
  3. Step 3: Cross multiply
    1,418.78x = 2,128.47 × 541.55
  4. Step 4: Simplify right side
    1,418.78x = 1,152,672.93
  5. Step 5: Solve for x
    x = 1,152,672.93/1,418.78
  6. Step 6: Final answer
    x = 812.44

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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.