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Finding the Fourth Proportional to 984.16, 1,475.16 and 496.54

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Solution

The fourth proportional to 984.16, 1,475.16 and 496.54 is: 744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.16 : 1,475.16 = 496.54 : x
  2. Step 2: Convert to fraction form
    984.16/1,475.16 = 496.54/x
  3. Step 3: Cross multiply
    984.16x = 1,475.16 × 496.54
  4. Step 4: Simplify right side
    984.16x = 732,475.95
  5. Step 5: Solve for x
    x = 732,475.95/984.16
  6. Step 6: Final answer
    x = 744.27

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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.