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Finding the Fourth Proportional to 883.59, 1,219.76 and 604.28

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Solution

The fourth proportional to 883.59, 1,219.76 and 604.28 is: 834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.59 : 1,219.76 = 604.28 : x
  2. Step 2: Convert to fraction form
    883.59/1,219.76 = 604.28/x
  3. Step 3: Cross multiply
    883.59x = 1,219.76 × 604.28
  4. Step 4: Simplify right side
    883.59x = 737,067.45
  5. Step 5: Solve for x
    x = 737,067.45/883.59
  6. Step 6: Final answer
    x = 834.17

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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.