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Finding the Fourth Proportional to 1,192.69, 1,645.86 and 720.70

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Solution

The fourth proportional to 1,192.69, 1,645.86 and 720.70 is: 994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.69 : 1,645.86 = 720.70 : x
  2. Step 2: Convert to fraction form
    1,192.69/1,645.86 = 720.70/x
  3. Step 3: Cross multiply
    1,192.69x = 1,645.86 × 720.70
  4. Step 4: Simplify right side
    1,192.69x = 1,186,171.30
  5. Step 5: Solve for x
    x = 1,186,171.30/1,192.69
  6. Step 6: Final answer
    x = 994.53

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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.