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Finding the Fourth Proportional to 737.77, 1,017.17 and 604.50

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Solution

The fourth proportional to 737.77, 1,017.17 and 604.50 is: 833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.77 : 1,017.17 = 604.50 : x
  2. Step 2: Convert to fraction form
    737.77/1,017.17 = 604.50/x
  3. Step 3: Cross multiply
    737.77x = 1,017.17 × 604.50
  4. Step 4: Simplify right side
    737.77x = 614,880.78
  5. Step 5: Solve for x
    x = 614,880.78/737.77
  6. Step 6: Final answer
    x = 833.43

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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.