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Finding the Fourth Proportional to 1,149.44, 1,715.82 and 1,011.06

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Solution

The fourth proportional to 1,149.44, 1,715.82 and 1,011.06 is: 1,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.44 : 1,715.82 = 1,011.06 : x
  2. Step 2: Convert to fraction form
    1,149.44/1,715.82 = 1,011.06/x
  3. Step 3: Cross multiply
    1,149.44x = 1,715.82 × 1,011.06
  4. Step 4: Simplify right side
    1,149.44x = 1,734,796.97
  5. Step 5: Solve for x
    x = 1,734,796.97/1,149.44
  6. Step 6: Final answer
    x = 1,509.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.