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Finding the Fourth Proportional to 835.69, 1,250.77 and 464.92

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Solution

The fourth proportional to 835.69, 1,250.77 and 464.92 is: 695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.69 : 1,250.77 = 464.92 : x
  2. Step 2: Convert to fraction form
    835.69/1,250.77 = 464.92/x
  3. Step 3: Cross multiply
    835.69x = 1,250.77 × 464.92
  4. Step 4: Simplify right side
    835.69x = 581,507.99
  5. Step 5: Solve for x
    x = 581,507.99/835.69
  6. Step 6: Final answer
    x = 695.84

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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.