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Finding the Fourth Proportional to 984.18, 1,479.06 and 947.82

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Solution

The fourth proportional to 984.18, 1,479.06 and 947.82 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.18 : 1,479.06 = 947.82 : x
  2. Step 2: Convert to fraction form
    984.18/1,479.06 = 947.82/x
  3. Step 3: Cross multiply
    984.18x = 1,479.06 × 947.82
  4. Step 4: Simplify right side
    984.18x = 1,401,882.65
  5. Step 5: Solve for x
    x = 1,401,882.65/984.18
  6. Step 6: Final answer
    x = 1,424.42

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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.