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Finding the Fourth Proportional to 1,099.67, 1,649.10 and 369.08

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Solution

The fourth proportional to 1,099.67, 1,649.10 and 369.08 is: 553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.67 : 1,649.10 = 369.08 : x
  2. Step 2: Convert to fraction form
    1,099.67/1,649.10 = 369.08/x
  3. Step 3: Cross multiply
    1,099.67x = 1,649.10 × 369.08
  4. Step 4: Simplify right side
    1,099.67x = 608,649.15
  5. Step 5: Solve for x
    x = 608,649.15/1,099.67
  6. Step 6: Final answer
    x = 553.49

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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.