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Finding the Fourth Proportional to 887.87, 1,224.74 and 604.78

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Solution

The fourth proportional to 887.87, 1,224.74 and 604.78 is: 834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.87 : 1,224.74 = 604.78 : x
  2. Step 2: Convert to fraction form
    887.87/1,224.74 = 604.78/x
  3. Step 3: Cross multiply
    887.87x = 1,224.74 × 604.78
  4. Step 4: Simplify right side
    887.87x = 740,696.71
  5. Step 5: Solve for x
    x = 740,696.71/887.87
  6. Step 6: Final answer
    x = 834.24

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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.