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Finding the Fourth Proportional to 905.36, 1,248.76 and 556.24

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Solution

The fourth proportional to 905.36, 1,248.76 and 556.24 is: 767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.36 : 1,248.76 = 556.24 : x
  2. Step 2: Convert to fraction form
    905.36/1,248.76 = 556.24/x
  3. Step 3: Cross multiply
    905.36x = 1,248.76 × 556.24
  4. Step 4: Simplify right side
    905.36x = 694,610.26
  5. Step 5: Solve for x
    x = 694,610.26/905.36
  6. Step 6: Final answer
    x = 767.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.