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Finding the Fourth Proportional to 1,099.64, 1,517.54 and 741.21

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Solution

The fourth proportional to 1,099.64, 1,517.54 and 741.21 is: 1,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.64 : 1,517.54 = 741.21 : x
  2. Step 2: Convert to fraction form
    1,099.64/1,517.54 = 741.21/x
  3. Step 3: Cross multiply
    1,099.64x = 1,517.54 × 741.21
  4. Step 4: Simplify right side
    1,099.64x = 1,124,815.82
  5. Step 5: Solve for x
    x = 1,124,815.82/1,099.64
  6. Step 6: Final answer
    x = 1,022.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.