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Finding the Fourth Proportional to 1,099.49, 1,649.43 and 613.08

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Solution

The fourth proportional to 1,099.49, 1,649.43 and 613.08 is: 919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.49 : 1,649.43 = 613.08 : x
  2. Step 2: Convert to fraction form
    1,099.49/1,649.43 = 613.08/x
  3. Step 3: Cross multiply
    1,099.49x = 1,649.43 × 613.08
  4. Step 4: Simplify right side
    1,099.49x = 1,011,232.54
  5. Step 5: Solve for x
    x = 1,011,232.54/1,099.49
  6. Step 6: Final answer
    x = 919.73

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1.5x scale

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.