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Finding the Fourth Proportional to 1,068.22, 1,601.37 and 574.89

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Solution

The fourth proportional to 1,068.22, 1,601.37 and 574.89 is: 861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.22 : 1,601.37 = 574.89 : x
  2. Step 2: Convert to fraction form
    1,068.22/1,601.37 = 574.89/x
  3. Step 3: Cross multiply
    1,068.22x = 1,601.37 × 574.89
  4. Step 4: Simplify right side
    1,068.22x = 920,611.60
  5. Step 5: Solve for x
    x = 920,611.60/1,068.22
  6. Step 6: Final answer
    x = 861.82

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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.