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Finding the Fourth Proportional to 906.83, 1,360.25 and 474.83

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Solution

The fourth proportional to 906.83, 1,360.25 and 474.83 is: 712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.83 : 1,360.25 = 474.83 : x
  2. Step 2: Convert to fraction form
    906.83/1,360.25 = 474.83/x
  3. Step 3: Cross multiply
    906.83x = 1,360.25 × 474.83
  4. Step 4: Simplify right side
    906.83x = 645,878.33
  5. Step 5: Solve for x
    x = 645,878.33/906.83
  6. Step 6: Final answer
    x = 712.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.