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Finding the Fourth Proportional to 905.86, 1,357.65 and 494.14

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Solution

The fourth proportional to 905.86, 1,357.65 and 494.14 is: 740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.86 : 1,357.65 = 494.14 : x
  2. Step 2: Convert to fraction form
    905.86/1,357.65 = 494.14/x
  3. Step 3: Cross multiply
    905.86x = 1,357.65 × 494.14
  4. Step 4: Simplify right side
    905.86x = 670,869.17
  5. Step 5: Solve for x
    x = 670,869.17/905.86
  6. Step 6: Final answer
    x = 740.59

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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.