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Finding the Fourth Proportional to 835.54, 1,251.96 and 469.18

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Solution

The fourth proportional to 835.54, 1,251.96 and 469.18 is: 703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.54 : 1,251.96 = 469.18 : x
  2. Step 2: Convert to fraction form
    835.54/1,251.96 = 469.18/x
  3. Step 3: Cross multiply
    835.54x = 1,251.96 × 469.18
  4. Step 4: Simplify right side
    835.54x = 587,394.59
  5. Step 5: Solve for x
    x = 587,394.59/835.54
  6. Step 6: Final answer
    x = 703.01

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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.