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Finding the Fourth Proportional to 1,046.09, 1,566.77 and 600.80

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Solution

The fourth proportional to 1,046.09, 1,566.77 and 600.80 is: 899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.09 : 1,566.77 = 600.80 : x
  2. Step 2: Convert to fraction form
    1,046.09/1,566.77 = 600.80/x
  3. Step 3: Cross multiply
    1,046.09x = 1,566.77 × 600.80
  4. Step 4: Simplify right side
    1,046.09x = 941,304.58
  5. Step 5: Solve for x
    x = 941,304.58/1,046.09
  6. Step 6: Final answer
    x = 899.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.