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Finding the Fourth Proportional to 1,420.78, 2,131.61 and 727.94

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Solution

The fourth proportional to 1,420.78, 2,131.61 and 727.94 is: 1,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.78 : 2,131.61 = 727.94 : x
  2. Step 2: Convert to fraction form
    1,420.78/2,131.61 = 727.94/x
  3. Step 3: Cross multiply
    1,420.78x = 2,131.61 × 727.94
  4. Step 4: Simplify right side
    1,420.78x = 1,551,681.92
  5. Step 5: Solve for x
    x = 1,551,681.92/1,420.78
  6. Step 6: Final answer
    x = 1,092.13

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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.