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Finding the Fourth Proportional to 1,071.69, 1,606.72 and 1,019.78

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Solution

The fourth proportional to 1,071.69, 1,606.72 and 1,019.78 is: 1,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.69 : 1,606.72 = 1,019.78 : x
  2. Step 2: Convert to fraction form
    1,071.69/1,606.72 = 1,019.78/x
  3. Step 3: Cross multiply
    1,071.69x = 1,606.72 × 1,019.78
  4. Step 4: Simplify right side
    1,071.69x = 1,638,500.92
  5. Step 5: Solve for x
    x = 1,638,500.92/1,071.69
  6. Step 6: Final answer
    x = 1,528.89

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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.