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Finding the Fourth Proportional to 1,280.93, 1,775.83 and 1,235.89

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Solution

The fourth proportional to 1,280.93, 1,775.83 and 1,235.89 is: 1,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.93 : 1,775.83 = 1,235.89 : x
  2. Step 2: Convert to fraction form
    1,280.93/1,775.83 = 1,235.89/x
  3. Step 3: Cross multiply
    1,280.93x = 1,775.83 × 1,235.89
  4. Step 4: Simplify right side
    1,280.93x = 2,194,721.66
  5. Step 5: Solve for x
    x = 2,194,721.66/1,280.93
  6. Step 6: Final answer
    x = 1,713.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.