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Finding the Fourth Proportional to 1,219.47, 1,829.22 and 732.66

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Solution

The fourth proportional to 1,219.47, 1,829.22 and 732.66 is: 1,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.47 : 1,829.22 = 732.66 : x
  2. Step 2: Convert to fraction form
    1,219.47/1,829.22 = 732.66/x
  3. Step 3: Cross multiply
    1,219.47x = 1,829.22 × 732.66
  4. Step 4: Simplify right side
    1,219.47x = 1,340,196.33
  5. Step 5: Solve for x
    x = 1,340,196.33/1,219.47
  6. Step 6: Final answer
    x = 1,099.00

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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.