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Finding the Fourth Proportional to 833.94, 1,251 and 469.44

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Solution

The fourth proportional to 833.94, 1,251 and 469.44 is: 704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.94 : 1,251 = 469.44 : x
  2. Step 2: Convert to fraction form
    833.94/1,251 = 469.44/x
  3. Step 3: Cross multiply
    833.94x = 1,251 × 469.44
  4. Step 4: Simplify right side
    833.94x = 587,269.44
  5. Step 5: Solve for x
    x = 587,269.44/833.94
  6. Step 6: Final answer
    x = 704.21

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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.