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Finding the Fourth Proportional to 1,211.32, 1,816.36 and 562.12

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Solution

The fourth proportional to 1,211.32, 1,816.36 and 562.12 is: 842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.32 : 1,816.36 = 562.12 : x
  2. Step 2: Convert to fraction form
    1,211.32/1,816.36 = 562.12/x
  3. Step 3: Cross multiply
    1,211.32x = 1,816.36 × 562.12
  4. Step 4: Simplify right side
    1,211.32x = 1,021,012.28
  5. Step 5: Solve for x
    x = 1,021,012.28/1,211.32
  6. Step 6: Final answer
    x = 842.89

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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.