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Finding the Fourth Proportional to 1,066.21, 1,599.32 and 408.37

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Solution

The fourth proportional to 1,066.21, 1,599.32 and 408.37 is: 612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.21 : 1,599.32 = 408.37 : x
  2. Step 2: Convert to fraction form
    1,066.21/1,599.32 = 408.37/x
  3. Step 3: Cross multiply
    1,066.21x = 1,599.32 × 408.37
  4. Step 4: Simplify right side
    1,066.21x = 653,114.31
  5. Step 5: Solve for x
    x = 653,114.31/1,066.21
  6. Step 6: Final answer
    x = 612.56

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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.