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Finding the Fourth Proportional to 904.32, 1,245.24 and 773.04

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Solution

The fourth proportional to 904.32, 1,245.24 and 773.04 is: 1,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.32 : 1,245.24 = 773.04 : x
  2. Step 2: Convert to fraction form
    904.32/1,245.24 = 773.04/x
  3. Step 3: Cross multiply
    904.32x = 1,245.24 × 773.04
  4. Step 4: Simplify right side
    904.32x = 962,620.33
  5. Step 5: Solve for x
    x = 962,620.33/904.32
  6. Step 6: Final answer
    x = 1,064.47

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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.