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Finding the Fourth Proportional to 906.71, 1,358.94 and 517.04

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Solution

The fourth proportional to 906.71, 1,358.94 and 517.04 is: 774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.71 : 1,358.94 = 517.04 : x
  2. Step 2: Convert to fraction form
    906.71/1,358.94 = 517.04/x
  3. Step 3: Cross multiply
    906.71x = 1,358.94 × 517.04
  4. Step 4: Simplify right side
    906.71x = 702,619.54
  5. Step 5: Solve for x
    x = 702,619.54/906.71
  6. Step 6: Final answer
    x = 774.92

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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.