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Finding the Fourth Proportional to 906.71, 1,251.38 and 513.75

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Solution

The fourth proportional to 906.71, 1,251.38 and 513.75 is: 709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.71 : 1,251.38 = 513.75 : x
  2. Step 2: Convert to fraction form
    906.71/1,251.38 = 513.75/x
  3. Step 3: Cross multiply
    906.71x = 1,251.38 × 513.75
  4. Step 4: Simplify right side
    906.71x = 642,897.76
  5. Step 5: Solve for x
    x = 642,897.76/906.71
  6. Step 6: Final answer
    x = 709.04

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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.