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Finding the Fourth Proportional to 1,413.88, 1,951.09 and 784.39

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Solution

The fourth proportional to 1,413.88, 1,951.09 and 784.39 is: 1,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.88 : 1,951.09 = 784.39 : x
  2. Step 2: Convert to fraction form
    1,413.88/1,951.09 = 784.39/x
  3. Step 3: Cross multiply
    1,413.88x = 1,951.09 × 784.39
  4. Step 4: Simplify right side
    1,413.88x = 1,530,415.49
  5. Step 5: Solve for x
    x = 1,530,415.49/1,413.88
  6. Step 6: Final answer
    x = 1,082.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.