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Finding the Fourth Proportional to 1,217.40, 1,680.14 and 720.19

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Solution

The fourth proportional to 1,217.40, 1,680.14 and 720.19 is: 993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.40 : 1,680.14 = 720.19 : x
  2. Step 2: Convert to fraction form
    1,217.40/1,680.14 = 720.19/x
  3. Step 3: Cross multiply
    1,217.40x = 1,680.14 × 720.19
  4. Step 4: Simplify right side
    1,217.40x = 1,210,023.93
  5. Step 5: Solve for x
    x = 1,210,023.93/1,217.40
  6. Step 6: Final answer
    x = 993.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.