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Finding the Fourth Proportional to 1,148.90, 1,723.34 and 418.48

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Solution

The fourth proportional to 1,148.90, 1,723.34 and 418.48 is: 627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.90 : 1,723.34 = 418.48 : x
  2. Step 2: Convert to fraction form
    1,148.90/1,723.34 = 418.48/x
  3. Step 3: Cross multiply
    1,148.90x = 1,723.34 × 418.48
  4. Step 4: Simplify right side
    1,148.90x = 721,180.06
  5. Step 5: Solve for x
    x = 721,180.06/1,148.90
  6. Step 6: Final answer
    x = 627.72

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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.