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Finding the Fourth Proportional to 1,299.71, 1,946.53 and 1,006.26

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Solution

The fourth proportional to 1,299.71, 1,946.53 and 1,006.26 is: 1,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.71 : 1,946.53 = 1,006.26 : x
  2. Step 2: Convert to fraction form
    1,299.71/1,946.53 = 1,006.26/x
  3. Step 3: Cross multiply
    1,299.71x = 1,946.53 × 1,006.26
  4. Step 4: Simplify right side
    1,299.71x = 1,958,721.55
  5. Step 5: Solve for x
    x = 1,958,721.55/1,299.71
  6. Step 6: Final answer
    x = 1,507.05

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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.