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Finding the Fourth Proportional to 1,112.60, 1,665.80 and 837.84

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Solution

The fourth proportional to 1,112.60, 1,665.80 and 837.84 is: 1,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.60 : 1,665.80 = 837.84 : x
  2. Step 2: Convert to fraction form
    1,112.60/1,665.80 = 837.84/x
  3. Step 3: Cross multiply
    1,112.60x = 1,665.80 × 837.84
  4. Step 4: Simplify right side
    1,112.60x = 1,395,679.07
  5. Step 5: Solve for x
    x = 1,395,679.07/1,112.60
  6. Step 6: Final answer
    x = 1,254.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.