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Finding the Fourth Proportional to 906.57, 1,251 and 513.59

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Solution

The fourth proportional to 906.57, 1,251 and 513.59 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.57 : 1,251 = 513.59 : x
  2. Step 2: Convert to fraction form
    906.57/1,251 = 513.59/x
  3. Step 3: Cross multiply
    906.57x = 1,251 × 513.59
  4. Step 4: Simplify right side
    906.57x = 642,494.84
  5. Step 5: Solve for x
    x = 642,494.84/906.57
  6. Step 6: Final answer
    x = 708.71

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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.