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Finding the Fourth Proportional to 1,413.64, 2,116.02 and 979.48

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Solution

The fourth proportional to 1,413.64, 2,116.02 and 979.48 is: 1,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.64 : 2,116.02 = 979.48 : x
  2. Step 2: Convert to fraction form
    1,413.64/2,116.02 = 979.48/x
  3. Step 3: Cross multiply
    1,413.64x = 2,116.02 × 979.48
  4. Step 4: Simplify right side
    1,413.64x = 2,072,599.27
  5. Step 5: Solve for x
    x = 2,072,599.27/1,413.64
  6. Step 6: Final answer
    x = 1,466.14

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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.