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Finding the Fourth Proportional to 1,215.22, 1,822.56 and 349.60

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Solution

The fourth proportional to 1,215.22, 1,822.56 and 349.60 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.22 : 1,822.56 = 349.60 : x
  2. Step 2: Convert to fraction form
    1,215.22/1,822.56 = 349.60/x
  3. Step 3: Cross multiply
    1,215.22x = 1,822.56 × 349.60
  4. Step 4: Simplify right side
    1,215.22x = 637,166.98
  5. Step 5: Solve for x
    x = 637,166.98/1,215.22
  6. Step 6: Final answer
    x = 524.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.