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Finding the Fourth Proportional to 1,207.56, 1,812.56 and 816.34

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Solution

The fourth proportional to 1,207.56, 1,812.56 and 816.34 is: 1,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.56 : 1,812.56 = 816.34 : x
  2. Step 2: Convert to fraction form
    1,207.56/1,812.56 = 816.34/x
  3. Step 3: Cross multiply
    1,207.56x = 1,812.56 × 816.34
  4. Step 4: Simplify right side
    1,207.56x = 1,479,665.23
  5. Step 5: Solve for x
    x = 1,479,665.23/1,207.56
  6. Step 6: Final answer
    x = 1,225.33

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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.