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Finding the Fourth Proportional to 1,413.33, 1,951.59 and 994.62

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Solution

The fourth proportional to 1,413.33, 1,951.59 and 994.62 is: 1,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.33 : 1,951.59 = 994.62 : x
  2. Step 2: Convert to fraction form
    1,413.33/1,951.59 = 994.62/x
  3. Step 3: Cross multiply
    1,413.33x = 1,951.59 × 994.62
  4. Step 4: Simplify right side
    1,413.33x = 1,941,090.45
  5. Step 5: Solve for x
    x = 1,941,090.45/1,413.33
  6. Step 6: Final answer
    x = 1,373.42

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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.