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Finding the Fourth Proportional to 904.24, 1,247.94 and 610.12

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Solution

The fourth proportional to 904.24, 1,247.94 and 610.12 is: 842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.24 : 1,247.94 = 610.12 : x
  2. Step 2: Convert to fraction form
    904.24/1,247.94 = 610.12/x
  3. Step 3: Cross multiply
    904.24x = 1,247.94 × 610.12
  4. Step 4: Simplify right side
    904.24x = 761,393.15
  5. Step 5: Solve for x
    x = 761,393.15/904.24
  6. Step 6: Final answer
    x = 842.03

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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.