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Finding the Fourth Proportional to 1,436.87, 1,982.81 and 847.40

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Solution

The fourth proportional to 1,436.87, 1,982.81 and 847.40 is: 1,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.87 : 1,982.81 = 847.40 : x
  2. Step 2: Convert to fraction form
    1,436.87/1,982.81 = 847.40/x
  3. Step 3: Cross multiply
    1,436.87x = 1,982.81 × 847.40
  4. Step 4: Simplify right side
    1,436.87x = 1,680,225.40
  5. Step 5: Solve for x
    x = 1,680,225.40/1,436.87
  6. Step 6: Final answer
    x = 1,169.36

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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.