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Finding the Fourth Proportional to 1,099.95, 1,649.61 and 483.49

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Solution

The fourth proportional to 1,099.95, 1,649.61 and 483.49 is: 725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.95 : 1,649.61 = 483.49 : x
  2. Step 2: Convert to fraction form
    1,099.95/1,649.61 = 483.49/x
  3. Step 3: Cross multiply
    1,099.95x = 1,649.61 × 483.49
  4. Step 4: Simplify right side
    1,099.95x = 797,569.94
  5. Step 5: Solve for x
    x = 797,569.94/1,099.95
  6. Step 6: Final answer
    x = 725.10

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Double scale
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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.