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Finding the Fourth Proportional to 1,764.16, 2,647.08 and 724.88

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Solution

The fourth proportional to 1,764.16, 2,647.08 and 724.88 is: 1,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.16 : 2,647.08 = 724.88 : x
  2. Step 2: Convert to fraction form
    1,764.16/2,647.08 = 724.88/x
  3. Step 3: Cross multiply
    1,764.16x = 2,647.08 × 724.88
  4. Step 4: Simplify right side
    1,764.16x = 1,918,815.35
  5. Step 5: Solve for x
    x = 1,918,815.35/1,764.16
  6. Step 6: Final answer
    x = 1,087.67

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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.