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Finding the Fourth Proportional to 1,212.28, 1,816.74 and 442.36

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Solution

The fourth proportional to 1,212.28, 1,816.74 and 442.36 is: 662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.28 : 1,816.74 = 442.36 : x
  2. Step 2: Convert to fraction form
    1,212.28/1,816.74 = 442.36/x
  3. Step 3: Cross multiply
    1,212.28x = 1,816.74 × 442.36
  4. Step 4: Simplify right side
    1,212.28x = 803,653.11
  5. Step 5: Solve for x
    x = 803,653.11/1,212.28
  6. Step 6: Final answer
    x = 662.93

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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.