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Finding the Fourth Proportional to 1,399.22, 2,097.27 and 473.90

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Solution

The fourth proportional to 1,399.22, 2,097.27 and 473.90 is: 710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.22 : 2,097.27 = 473.90 : x
  2. Step 2: Convert to fraction form
    1,399.22/2,097.27 = 473.90/x
  3. Step 3: Cross multiply
    1,399.22x = 2,097.27 × 473.90
  4. Step 4: Simplify right side
    1,399.22x = 993,896.25
  5. Step 5: Solve for x
    x = 993,896.25/1,399.22
  6. Step 6: Final answer
    x = 710.32

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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.