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Finding the Fourth Proportional to 1,356.41, 2,035.42 and 490.79

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Solution

The fourth proportional to 1,356.41, 2,035.42 and 490.79 is: 736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.41 : 2,035.42 = 490.79 : x
  2. Step 2: Convert to fraction form
    1,356.41/2,035.42 = 490.79/x
  3. Step 3: Cross multiply
    1,356.41x = 2,035.42 × 490.79
  4. Step 4: Simplify right side
    1,356.41x = 998,967.64
  5. Step 5: Solve for x
    x = 998,967.64/1,356.41
  6. Step 6: Final answer
    x = 736.48

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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.