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Finding the Fourth Proportional to 984.44, 1,358.64 and 652.75

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Solution

The fourth proportional to 984.44, 1,358.64 and 652.75 is: 900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,358.64 = 652.75 : x
  2. Step 2: Convert to fraction form
    984.44/1,358.64 = 652.75/x
  3. Step 3: Cross multiply
    984.44x = 1,358.64 × 652.75
  4. Step 4: Simplify right side
    984.44x = 886,848.86
  5. Step 5: Solve for x
    x = 886,848.86/984.44
  6. Step 6: Final answer
    x = 900.86

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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.