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Finding the Fourth Proportional to 1,211.13, 1,816.59 and 345.33

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Solution

The fourth proportional to 1,211.13, 1,816.59 and 345.33 is: 517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.13 : 1,816.59 = 345.33 : x
  2. Step 2: Convert to fraction form
    1,211.13/1,816.59 = 345.33/x
  3. Step 3: Cross multiply
    1,211.13x = 1,816.59 × 345.33
  4. Step 4: Simplify right side
    1,211.13x = 627,323.02
  5. Step 5: Solve for x
    x = 627,323.02/1,211.13
  6. Step 6: Final answer
    x = 517.97

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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.