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Finding the Fourth Proportional to 1,071.82, 1,606.69 and 486.98

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Solution

The fourth proportional to 1,071.82, 1,606.69 and 486.98 is: 729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.82 : 1,606.69 = 486.98 : x
  2. Step 2: Convert to fraction form
    1,071.82/1,606.69 = 486.98/x
  3. Step 3: Cross multiply
    1,071.82x = 1,606.69 × 486.98
  4. Step 4: Simplify right side
    1,071.82x = 782,416.65
  5. Step 5: Solve for x
    x = 782,416.65/1,071.82
  6. Step 6: Final answer
    x = 729.99

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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.