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Finding the Fourth Proportional to 948.11, 1,421.62 and 728.19

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Solution

The fourth proportional to 948.11, 1,421.62 and 728.19 is: 1,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.11 : 1,421.62 = 728.19 : x
  2. Step 2: Convert to fraction form
    948.11/1,421.62 = 728.19/x
  3. Step 3: Cross multiply
    948.11x = 1,421.62 × 728.19
  4. Step 4: Simplify right side
    948.11x = 1,035,207.65
  5. Step 5: Solve for x
    x = 1,035,207.65/948.11
  6. Step 6: Final answer
    x = 1,091.87

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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.