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Finding the Fourth Proportional to 1,176.98, 1,764.39 and 599.18

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Solution

The fourth proportional to 1,176.98, 1,764.39 and 599.18 is: 898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.98 : 1,764.39 = 599.18 : x
  2. Step 2: Convert to fraction form
    1,176.98/1,764.39 = 599.18/x
  3. Step 3: Cross multiply
    1,176.98x = 1,764.39 × 599.18
  4. Step 4: Simplify right side
    1,176.98x = 1,057,187.20
  5. Step 5: Solve for x
    x = 1,057,187.20/1,176.98
  6. Step 6: Final answer
    x = 898.22

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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.