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Finding the Fourth Proportional to 1,148.22, 1,723.06 and 417.73

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Solution

The fourth proportional to 1,148.22, 1,723.06 and 417.73 is: 626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.22 : 1,723.06 = 417.73 : x
  2. Step 2: Convert to fraction form
    1,148.22/1,723.06 = 417.73/x
  3. Step 3: Cross multiply
    1,148.22x = 1,723.06 × 417.73
  4. Step 4: Simplify right side
    1,148.22x = 719,773.85
  5. Step 5: Solve for x
    x = 719,773.85/1,148.22
  6. Step 6: Final answer
    x = 626.86

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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.