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Finding the Fourth Proportional to 1,147.47, 1,721.75 and 627.99

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Solution

The fourth proportional to 1,147.47, 1,721.75 and 627.99 is: 942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.47 : 1,721.75 = 627.99 : x
  2. Step 2: Convert to fraction form
    1,147.47/1,721.75 = 627.99/x
  3. Step 3: Cross multiply
    1,147.47x = 1,721.75 × 627.99
  4. Step 4: Simplify right side
    1,147.47x = 1,081,238.64
  5. Step 5: Solve for x
    x = 1,081,238.64/1,147.47
  6. Step 6: Final answer
    x = 942.28

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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.