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Finding the Fourth Proportional to 990.62, 1,488.24 and 580.05

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Solution

The fourth proportional to 990.62, 1,488.24 and 580.05 is: 871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.62 : 1,488.24 = 580.05 : x
  2. Step 2: Convert to fraction form
    990.62/1,488.24 = 580.05/x
  3. Step 3: Cross multiply
    990.62x = 1,488.24 × 580.05
  4. Step 4: Simplify right side
    990.62x = 863,252.74
  5. Step 5: Solve for x
    x = 863,252.74/990.62
  6. Step 6: Final answer
    x = 871.42

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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.