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Finding the Fourth Proportional to 833.21, 1,149.83 and 484.10

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Solution

The fourth proportional to 833.21, 1,149.83 and 484.10 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.21 : 1,149.83 = 484.10 : x
  2. Step 2: Convert to fraction form
    833.21/1,149.83 = 484.10/x
  3. Step 3: Cross multiply
    833.21x = 1,149.83 × 484.10
  4. Step 4: Simplify right side
    833.21x = 556,630.66
  5. Step 5: Solve for x
    x = 556,630.66/833.21
  6. Step 6: Final answer
    x = 668.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.