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Finding the Fourth Proportional to 902.05, 1,244.83 and 488.05

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Solution

The fourth proportional to 902.05, 1,244.83 and 488.05 is: 673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.05 : 1,244.83 = 488.05 : x
  2. Step 2: Convert to fraction form
    902.05/1,244.83 = 488.05/x
  3. Step 3: Cross multiply
    902.05x = 1,244.83 × 488.05
  4. Step 4: Simplify right side
    902.05x = 607,536.84
  5. Step 5: Solve for x
    x = 607,536.84/902.05
  6. Step 6: Final answer
    x = 673.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.