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Finding the Fourth Proportional to 905.74, 1,247.98 and 610.49

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Solution

The fourth proportional to 905.74, 1,247.98 and 610.49 is: 841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,247.98 = 610.49 : x
  2. Step 2: Convert to fraction form
    905.74/1,247.98 = 610.49/x
  3. Step 3: Cross multiply
    905.74x = 1,247.98 × 610.49
  4. Step 4: Simplify right side
    905.74x = 761,879.31
  5. Step 5: Solve for x
    x = 761,879.31/905.74
  6. Step 6: Final answer
    x = 841.17

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Why These Related Problems?

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