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Finding the Fourth Proportional to 1,011.71, 1,515.96 and 736.53

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Solution

The fourth proportional to 1,011.71, 1,515.96 and 736.53 is: 1,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.71 : 1,515.96 = 736.53 : x
  2. Step 2: Convert to fraction form
    1,011.71/1,515.96 = 736.53/x
  3. Step 3: Cross multiply
    1,011.71x = 1,515.96 × 736.53
  4. Step 4: Simplify right side
    1,011.71x = 1,116,550.02
  5. Step 5: Solve for x
    x = 1,116,550.02/1,011.71
  6. Step 6: Final answer
    x = 1,103.63

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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.