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Finding the Fourth Proportional to 833.05, 1,250.34 and 782.81

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Solution

The fourth proportional to 833.05, 1,250.34 and 782.81 is: 1,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.05 : 1,250.34 = 782.81 : x
  2. Step 2: Convert to fraction form
    833.05/1,250.34 = 782.81/x
  3. Step 3: Cross multiply
    833.05x = 1,250.34 × 782.81
  4. Step 4: Simplify right side
    833.05x = 978,781.19
  5. Step 5: Solve for x
    x = 978,781.19/833.05
  6. Step 6: Final answer
    x = 1,174.94

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Why These Related Problems?

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