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Finding the Fourth Proportional to 646.39, 974.23 and 611.20

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Solution

The fourth proportional to 646.39, 974.23 and 611.20 is: 921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.39 : 974.23 = 611.20 : x
  2. Step 2: Convert to fraction form
    646.39/974.23 = 611.20/x
  3. Step 3: Cross multiply
    646.39x = 974.23 × 611.20
  4. Step 4: Simplify right side
    646.39x = 595,449.38
  5. Step 5: Solve for x
    x = 595,449.38/646.39
  6. Step 6: Final answer
    x = 921.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.