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Finding the Fourth Proportional to 1,150.02, 1,723.49 and 418.91

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Solution

The fourth proportional to 1,150.02, 1,723.49 and 418.91 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.02 : 1,723.49 = 418.91 : x
  2. Step 2: Convert to fraction form
    1,150.02/1,723.49 = 418.91/x
  3. Step 3: Cross multiply
    1,150.02x = 1,723.49 × 418.91
  4. Step 4: Simplify right side
    1,150.02x = 721,978.58
  5. Step 5: Solve for x
    x = 721,978.58/1,150.02
  6. Step 6: Final answer
    x = 627.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.