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Finding the Fourth Proportional to 902.74, 1,246.81 and 607.50

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Solution

The fourth proportional to 902.74, 1,246.81 and 607.50 is: 839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.74 : 1,246.81 = 607.50 : x
  2. Step 2: Convert to fraction form
    902.74/1,246.81 = 607.50/x
  3. Step 3: Cross multiply
    902.74x = 1,246.81 × 607.50
  4. Step 4: Simplify right side
    902.74x = 757,433.16
  5. Step 5: Solve for x
    x = 757,433.16/902.74
  6. Step 6: Final answer
    x = 839.04

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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.