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Finding the Fourth Proportional to 1,413.87, 1,951.80 and 824.31

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Solution

The fourth proportional to 1,413.87, 1,951.80 and 824.31 is: 1,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.87 : 1,951.80 = 824.31 : x
  2. Step 2: Convert to fraction form
    1,413.87/1,951.80 = 824.31/x
  3. Step 3: Cross multiply
    1,413.87x = 1,951.80 × 824.31
  4. Step 4: Simplify right side
    1,413.87x = 1,608,888.26
  5. Step 5: Solve for x
    x = 1,608,888.26/1,413.87
  6. Step 6: Final answer
    x = 1,137.93

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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.