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Finding the Fourth Proportional to 833.70, 1,249.05 and 399.90

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Solution

The fourth proportional to 833.70, 1,249.05 and 399.90 is: 599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,249.05 = 399.90 : x
  2. Step 2: Convert to fraction form
    833.70/1,249.05 = 399.90/x
  3. Step 3: Cross multiply
    833.70x = 1,249.05 × 399.90
  4. Step 4: Simplify right side
    833.70x = 499,495.10
  5. Step 5: Solve for x
    x = 499,495.10/833.70
  6. Step 6: Final answer
    x = 599.13

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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.