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Finding the Fourth Proportional to 1,215.06, 1,822.45 and 349.35

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Solution

The fourth proportional to 1,215.06, 1,822.45 and 349.35 is: 523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.06 : 1,822.45 = 349.35 : x
  2. Step 2: Convert to fraction form
    1,215.06/1,822.45 = 349.35/x
  3. Step 3: Cross multiply
    1,215.06x = 1,822.45 × 349.35
  4. Step 4: Simplify right side
    1,215.06x = 636,672.91
  5. Step 5: Solve for x
    x = 636,672.91/1,215.06
  6. Step 6: Final answer
    x = 523.98

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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.