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Finding the Fourth Proportional to 835.80, 1,254.19 and 465.91

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Solution

The fourth proportional to 835.80, 1,254.19 and 465.91 is: 699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.80 : 1,254.19 = 465.91 : x
  2. Step 2: Convert to fraction form
    835.80/1,254.19 = 465.91/x
  3. Step 3: Cross multiply
    835.80x = 1,254.19 × 465.91
  4. Step 4: Simplify right side
    835.80x = 584,339.66
  5. Step 5: Solve for x
    x = 584,339.66/835.80
  6. Step 6: Final answer
    x = 699.14

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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.