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Finding the Fourth Proportional to 984.44, 1,475.92 and 497.82

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Solution

The fourth proportional to 984.44, 1,475.92 and 497.82 is: 746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,475.92 = 497.82 : x
  2. Step 2: Convert to fraction form
    984.44/1,475.92 = 497.82/x
  3. Step 3: Cross multiply
    984.44x = 1,475.92 × 497.82
  4. Step 4: Simplify right side
    984.44x = 734,742.49
  5. Step 5: Solve for x
    x = 734,742.49/984.44
  6. Step 6: Final answer
    x = 746.36

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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.