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Finding the Fourth Proportional to 1,437.74, 1,983.89 and 848.18

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Solution

The fourth proportional to 1,437.74, 1,983.89 and 848.18 is: 1,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.74 : 1,983.89 = 848.18 : x
  2. Step 2: Convert to fraction form
    1,437.74/1,983.89 = 848.18/x
  3. Step 3: Cross multiply
    1,437.74x = 1,983.89 × 848.18
  4. Step 4: Simplify right side
    1,437.74x = 1,682,681.66
  5. Step 5: Solve for x
    x = 1,682,681.66/1,437.74
  6. Step 6: Final answer
    x = 1,170.37

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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.