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Finding the Fourth Proportional to 905.95, 1,356.57 and 494.24

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Solution

The fourth proportional to 905.95, 1,356.57 and 494.24 is: 740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.95 : 1,356.57 = 494.24 : x
  2. Step 2: Convert to fraction form
    905.95/1,356.57 = 494.24/x
  3. Step 3: Cross multiply
    905.95x = 1,356.57 × 494.24
  4. Step 4: Simplify right side
    905.95x = 670,468.36
  5. Step 5: Solve for x
    x = 670,468.36/905.95
  6. Step 6: Final answer
    x = 740.07

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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.