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Finding the Fourth Proportional to 1,215.51, 1,822.23 and 557.17

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Solution

The fourth proportional to 1,215.51, 1,822.23 and 557.17 is: 835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.51 : 1,822.23 = 557.17 : x
  2. Step 2: Convert to fraction form
    1,215.51/1,822.23 = 557.17/x
  3. Step 3: Cross multiply
    1,215.51x = 1,822.23 × 557.17
  4. Step 4: Simplify right side
    1,215.51x = 1,015,282.78
  5. Step 5: Solve for x
    x = 1,015,282.78/1,215.51
  6. Step 6: Final answer
    x = 835.27

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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.