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Finding the Fourth Proportional to 833.23, 1,249.83 and 256.09

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Solution

The fourth proportional to 833.23, 1,249.83 and 256.09 is: 384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.23 : 1,249.83 = 256.09 : x
  2. Step 2: Convert to fraction form
    833.23/1,249.83 = 256.09/x
  3. Step 3: Cross multiply
    833.23x = 1,249.83 × 256.09
  4. Step 4: Simplify right side
    833.23x = 320,068.96
  5. Step 5: Solve for x
    x = 320,068.96/833.23
  6. Step 6: Final answer
    x = 384.13

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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.