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Finding the Fourth Proportional to 908.82, 1,361.64 and 599.58

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Solution

The fourth proportional to 908.82, 1,361.64 and 599.58 is: 898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,361.64 = 599.58 : x
  2. Step 2: Convert to fraction form
    908.82/1,361.64 = 599.58/x
  3. Step 3: Cross multiply
    908.82x = 1,361.64 × 599.58
  4. Step 4: Simplify right side
    908.82x = 816,412.11
  5. Step 5: Solve for x
    x = 816,412.11/908.82
  6. Step 6: Final answer
    x = 898.32

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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.