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Finding the Fourth Proportional to 908.67, 1,359.93 and 562.23

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Solution

The fourth proportional to 908.67, 1,359.93 and 562.23 is: 841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.67 : 1,359.93 = 562.23 : x
  2. Step 2: Convert to fraction form
    908.67/1,359.93 = 562.23/x
  3. Step 3: Cross multiply
    908.67x = 1,359.93 × 562.23
  4. Step 4: Simplify right side
    908.67x = 764,593.44
  5. Step 5: Solve for x
    x = 764,593.44/908.67
  6. Step 6: Final answer
    x = 841.44

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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.