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Finding the Fourth Proportional to 1,397.13, 2,094.60 and 627.09

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Solution

The fourth proportional to 1,397.13, 2,094.60 and 627.09 is: 940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.13 : 2,094.60 = 627.09 : x
  2. Step 2: Convert to fraction form
    1,397.13/2,094.60 = 627.09/x
  3. Step 3: Cross multiply
    1,397.13x = 2,094.60 × 627.09
  4. Step 4: Simplify right side
    1,397.13x = 1,313,502.71
  5. Step 5: Solve for x
    x = 1,313,502.71/1,397.13
  6. Step 6: Final answer
    x = 940.14

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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.