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Finding the Fourth Proportional to 1,148.25, 1,720.82 and 627.47

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Solution

The fourth proportional to 1,148.25, 1,720.82 and 627.47 is: 940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.25 : 1,720.82 = 627.47 : x
  2. Step 2: Convert to fraction form
    1,148.25/1,720.82 = 627.47/x
  3. Step 3: Cross multiply
    1,148.25x = 1,720.82 × 627.47
  4. Step 4: Simplify right side
    1,148.25x = 1,079,755.89
  5. Step 5: Solve for x
    x = 1,079,755.89/1,148.25
  6. Step 6: Final answer
    x = 940.35

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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.