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Finding the Fourth Proportional to 1,112.24, 1,533.80 and 847.38

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Solution

The fourth proportional to 1,112.24, 1,533.80 and 847.38 is: 1,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.24 : 1,533.80 = 847.38 : x
  2. Step 2: Convert to fraction form
    1,112.24/1,533.80 = 847.38/x
  3. Step 3: Cross multiply
    1,112.24x = 1,533.80 × 847.38
  4. Step 4: Simplify right side
    1,112.24x = 1,299,711.44
  5. Step 5: Solve for x
    x = 1,299,711.44/1,112.24
  6. Step 6: Final answer
    x = 1,168.55

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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.