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Finding the Fourth Proportional to 1,437.44, 1,983.52 and 848.04

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Solution

The fourth proportional to 1,437.44, 1,983.52 and 848.04 is: 1,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.44 : 1,983.52 = 848.04 : x
  2. Step 2: Convert to fraction form
    1,437.44/1,983.52 = 848.04/x
  3. Step 3: Cross multiply
    1,437.44x = 1,983.52 × 848.04
  4. Step 4: Simplify right side
    1,437.44x = 1,682,104.30
  5. Step 5: Solve for x
    x = 1,682,104.30/1,437.44
  6. Step 6: Final answer
    x = 1,170.21

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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.