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Finding the Fourth Proportional to 984.44, 1,358.01 and 798.14

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Solution

The fourth proportional to 984.44, 1,358.01 and 798.14 is: 1,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,358.01 = 798.14 : x
  2. Step 2: Convert to fraction form
    984.44/1,358.01 = 798.14/x
  3. Step 3: Cross multiply
    984.44x = 1,358.01 × 798.14
  4. Step 4: Simplify right side
    984.44x = 1,083,875.31
  5. Step 5: Solve for x
    x = 1,083,875.31/984.44
  6. Step 6: Final answer
    x = 1,101.01

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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.