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Finding the Fourth Proportional to 1,099.49, 1,648.08 and 513.82

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Solution

The fourth proportional to 1,099.49, 1,648.08 and 513.82 is: 770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.49 : 1,648.08 = 513.82 : x
  2. Step 2: Convert to fraction form
    1,099.49/1,648.08 = 513.82/x
  3. Step 3: Cross multiply
    1,099.49x = 1,648.08 × 513.82
  4. Step 4: Simplify right side
    1,099.49x = 846,816.47
  5. Step 5: Solve for x
    x = 846,816.47/1,099.49
  6. Step 6: Final answer
    x = 770.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.