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Finding the Fourth Proportional to 984.74, 1,477.19 and 300.74

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Solution

The fourth proportional to 984.74, 1,477.19 and 300.74 is: 451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.74 : 1,477.19 = 300.74 : x
  2. Step 2: Convert to fraction form
    984.74/1,477.19 = 300.74/x
  3. Step 3: Cross multiply
    984.74x = 1,477.19 × 300.74
  4. Step 4: Simplify right side
    984.74x = 444,250.12
  5. Step 5: Solve for x
    x = 444,250.12/984.74
  6. Step 6: Final answer
    x = 451.13

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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.