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Finding the Fourth Proportional to 974.23, 1,460.01 and 627.37

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Solution

The fourth proportional to 974.23, 1,460.01 and 627.37 is: 940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.23 : 1,460.01 = 627.37 : x
  2. Step 2: Convert to fraction form
    974.23/1,460.01 = 627.37/x
  3. Step 3: Cross multiply
    974.23x = 1,460.01 × 627.37
  4. Step 4: Simplify right side
    974.23x = 915,966.47
  5. Step 5: Solve for x
    x = 915,966.47/974.23
  6. Step 6: Final answer
    x = 940.20

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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.