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Finding the Fourth Proportional to 833.80, 1,249.12 and 650.32

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Solution

The fourth proportional to 833.80, 1,249.12 and 650.32 is: 974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.80 : 1,249.12 = 650.32 : x
  2. Step 2: Convert to fraction form
    833.80/1,249.12 = 650.32/x
  3. Step 3: Cross multiply
    833.80x = 1,249.12 × 650.32
  4. Step 4: Simplify right side
    833.80x = 812,327.72
  5. Step 5: Solve for x
    x = 812,327.72/833.80
  6. Step 6: Final answer
    x = 974.25

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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.