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Finding the Fourth Proportional to 1,148.51, 1,723.24 and 627.89

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Solution

The fourth proportional to 1,148.51, 1,723.24 and 627.89 is: 942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.51 : 1,723.24 = 627.89 : x
  2. Step 2: Convert to fraction form
    1,148.51/1,723.24 = 627.89/x
  3. Step 3: Cross multiply
    1,148.51x = 1,723.24 × 627.89
  4. Step 4: Simplify right side
    1,148.51x = 1,081,997.33
  5. Step 5: Solve for x
    x = 1,081,997.33/1,148.51
  6. Step 6: Final answer
    x = 942.09

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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.