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Finding the Fourth Proportional to 1,071.17, 1,606.74 and 330.78

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Solution

The fourth proportional to 1,071.17, 1,606.74 and 330.78 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.17 : 1,606.74 = 330.78 : x
  2. Step 2: Convert to fraction form
    1,071.17/1,606.74 = 330.78/x
  3. Step 3: Cross multiply
    1,071.17x = 1,606.74 × 330.78
  4. Step 4: Simplify right side
    1,071.17x = 531,475.80
  5. Step 5: Solve for x
    x = 531,475.80/1,071.17
  6. Step 6: Final answer
    x = 496.16

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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.