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Finding the Fourth Proportional to 902.49, 1,351.68 and 705.90

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Solution

The fourth proportional to 902.49, 1,351.68 and 705.90 is: 1,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.49 : 1,351.68 = 705.90 : x
  2. Step 2: Convert to fraction form
    902.49/1,351.68 = 705.90/x
  3. Step 3: Cross multiply
    902.49x = 1,351.68 × 705.90
  4. Step 4: Simplify right side
    902.49x = 954,150.91
  5. Step 5: Solve for x
    x = 954,150.91/902.49
  6. Step 6: Final answer
    x = 1,057.24

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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.