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Finding the Fourth Proportional to 1,066.63, 1,599.69 and 408.37

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Solution

The fourth proportional to 1,066.63, 1,599.69 and 408.37 is: 612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.63 : 1,599.69 = 408.37 : x
  2. Step 2: Convert to fraction form
    1,066.63/1,599.69 = 408.37/x
  3. Step 3: Cross multiply
    1,066.63x = 1,599.69 × 408.37
  4. Step 4: Simplify right side
    1,066.63x = 653,265.41
  5. Step 5: Solve for x
    x = 653,265.41/1,066.63
  6. Step 6: Final answer
    x = 612.46

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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.