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Finding the Fourth Proportional to 991.44, 1,488.24 and 838.08

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Solution

The fourth proportional to 991.44, 1,488.24 and 838.08 is: 1,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,488.24 = 838.08 : x
  2. Step 2: Convert to fraction form
    991.44/1,488.24 = 838.08/x
  3. Step 3: Cross multiply
    991.44x = 1,488.24 × 838.08
  4. Step 4: Simplify right side
    991.44x = 1,247,264.18
  5. Step 5: Solve for x
    x = 1,247,264.18/991.44
  6. Step 6: Final answer
    x = 1,258.03

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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.