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Finding the Fourth Proportional to 1,066.77, 1,600.61 and 408.85

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Solution

The fourth proportional to 1,066.77, 1,600.61 and 408.85 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.77 : 1,600.61 = 408.85 : x
  2. Step 2: Convert to fraction form
    1,066.77/1,600.61 = 408.85/x
  3. Step 3: Cross multiply
    1,066.77x = 1,600.61 × 408.85
  4. Step 4: Simplify right side
    1,066.77x = 654,406.42
  5. Step 5: Solve for x
    x = 654,406.42/1,066.77
  6. Step 6: Final answer
    x = 613.45

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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.