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Finding the Fourth Proportional to 1,176.39, 1,764.09 and 482.58

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Solution

The fourth proportional to 1,176.39, 1,764.09 and 482.58 is: 723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.39 : 1,764.09 = 482.58 : x
  2. Step 2: Convert to fraction form
    1,176.39/1,764.09 = 482.58/x
  3. Step 3: Cross multiply
    1,176.39x = 1,764.09 × 482.58
  4. Step 4: Simplify right side
    1,176.39x = 851,314.55
  5. Step 5: Solve for x
    x = 851,314.55/1,176.39
  6. Step 6: Final answer
    x = 723.67

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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.