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Finding the Fourth Proportional to 905.47, 1,248.09 and 610.22

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Solution

The fourth proportional to 905.47, 1,248.09 and 610.22 is: 841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.47 : 1,248.09 = 610.22 : x
  2. Step 2: Convert to fraction form
    905.47/1,248.09 = 610.22/x
  3. Step 3: Cross multiply
    905.47x = 1,248.09 × 610.22
  4. Step 4: Simplify right side
    905.47x = 761,609.48
  5. Step 5: Solve for x
    x = 761,609.48/905.47
  6. Step 6: Final answer
    x = 841.12

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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.