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Finding the Fourth Proportional to 984.14, 1,475.46 and 637.82

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Solution

The fourth proportional to 984.14, 1,475.46 and 637.82 is: 956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.14 : 1,475.46 = 637.82 : x
  2. Step 2: Convert to fraction form
    984.14/1,475.46 = 637.82/x
  3. Step 3: Cross multiply
    984.14x = 1,475.46 × 637.82
  4. Step 4: Simplify right side
    984.14x = 941,077.90
  5. Step 5: Solve for x
    x = 941,077.90/984.14
  6. Step 6: Final answer
    x = 956.24

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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.