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Finding the Fourth Proportional to 1,413.48, 2,119.68 and 547.68

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Solution

The fourth proportional to 1,413.48, 2,119.68 and 547.68 is: 821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.48 : 2,119.68 = 547.68 : x
  2. Step 2: Convert to fraction form
    1,413.48/2,119.68 = 547.68/x
  3. Step 3: Cross multiply
    1,413.48x = 2,119.68 × 547.68
  4. Step 4: Simplify right side
    1,413.48x = 1,160,906.34
  5. Step 5: Solve for x
    x = 1,160,906.34/1,413.48
  6. Step 6: Final answer
    x = 821.31

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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.