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Finding the Fourth Proportional to 905.55, 1,357.77 and 494.11

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Solution

The fourth proportional to 905.55, 1,357.77 and 494.11 is: 740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.55 : 1,357.77 = 494.11 : x
  2. Step 2: Convert to fraction form
    905.55/1,357.77 = 494.11/x
  3. Step 3: Cross multiply
    905.55x = 1,357.77 × 494.11
  4. Step 4: Simplify right side
    905.55x = 670,891.28
  5. Step 5: Solve for x
    x = 670,891.28/905.55
  6. Step 6: Final answer
    x = 740.87

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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.