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Finding the Fourth Proportional to 906.76, 1,251.26 and 513.77

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Solution

The fourth proportional to 906.76, 1,251.26 and 513.77 is: 708.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.76 : 1,251.26 = 513.77 : x
  2. Step 2: Convert to fraction form
    906.76/1,251.26 = 513.77/x
  3. Step 3: Cross multiply
    906.76x = 1,251.26 × 513.77
  4. Step 4: Simplify right side
    906.76x = 642,860.41
  5. Step 5: Solve for x
    x = 642,860.41/906.76
  6. Step 6: Final answer
    x = 708.97

Related Problems

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Half scale
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Double scale
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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.