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Finding the Fourth Proportional to 1,378.62, 1,902.56 and 847.80

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Solution

The fourth proportional to 1,378.62, 1,902.56 and 847.80 is: 1,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.62 : 1,902.56 = 847.80 : x
  2. Step 2: Convert to fraction form
    1,378.62/1,902.56 = 847.80/x
  3. Step 3: Cross multiply
    1,378.62x = 1,902.56 × 847.80
  4. Step 4: Simplify right side
    1,378.62x = 1,612,986.13
  5. Step 5: Solve for x
    x = 1,612,986.13/1,378.62
  6. Step 6: Final answer
    x = 1,170.00

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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.