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Finding the Fourth Proportional to 906.75, 1,251.63 and 557.44

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Solution

The fourth proportional to 906.75, 1,251.63 and 557.44 is: 769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.75 : 1,251.63 = 557.44 : x
  2. Step 2: Convert to fraction form
    906.75/1,251.63 = 557.44/x
  3. Step 3: Cross multiply
    906.75x = 1,251.63 × 557.44
  4. Step 4: Simplify right side
    906.75x = 697,705.50
  5. Step 5: Solve for x
    x = 697,705.50/906.75
  6. Step 6: Final answer
    x = 769.46

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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.