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Finding the Fourth Proportional to 1,413.98, 2,117.90 and 797.36

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Solution

The fourth proportional to 1,413.98, 2,117.90 and 797.36 is: 1,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.98 : 2,117.90 = 797.36 : x
  2. Step 2: Convert to fraction form
    1,413.98/2,117.90 = 797.36/x
  3. Step 3: Cross multiply
    1,413.98x = 2,117.90 × 797.36
  4. Step 4: Simplify right side
    1,413.98x = 1,688,728.74
  5. Step 5: Solve for x
    x = 1,688,728.74/1,413.98
  6. Step 6: Final answer
    x = 1,194.31

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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.