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Finding the Fourth Proportional to 984.40, 1,478.34 and 935.14

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Solution

The fourth proportional to 984.40, 1,478.34 and 935.14 is: 1,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,478.34 = 935.14 : x
  2. Step 2: Convert to fraction form
    984.40/1,478.34 = 935.14/x
  3. Step 3: Cross multiply
    984.40x = 1,478.34 × 935.14
  4. Step 4: Simplify right side
    984.40x = 1,382,454.87
  5. Step 5: Solve for x
    x = 1,382,454.87/984.40
  6. Step 6: Final answer
    x = 1,404.36

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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.