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Finding the Fourth Proportional to 1,099.49, 1,649.16 and 396.77

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Solution

The fourth proportional to 1,099.49, 1,649.16 and 396.77 is: 595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.49 : 1,649.16 = 396.77 : x
  2. Step 2: Convert to fraction form
    1,099.49/1,649.16 = 396.77/x
  3. Step 3: Cross multiply
    1,099.49x = 1,649.16 × 396.77
  4. Step 4: Simplify right side
    1,099.49x = 654,328.97
  5. Step 5: Solve for x
    x = 654,328.97/1,099.49
  6. Step 6: Final answer
    x = 595.12

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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.