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Finding the Fourth Proportional to 904.76, 1,249.45 and 773.00

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Solution

The fourth proportional to 904.76, 1,249.45 and 773.00 is: 1,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.76 : 1,249.45 = 773.00 : x
  2. Step 2: Convert to fraction form
    904.76/1,249.45 = 773.00/x
  3. Step 3: Cross multiply
    904.76x = 1,249.45 × 773.00
  4. Step 4: Simplify right side
    904.76x = 965,816.67
  5. Step 5: Solve for x
    x = 965,816.67/904.76
  6. Step 6: Final answer
    x = 1,067.49

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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.