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Finding the Fourth Proportional to 1,153.83, 1,730.97 and 504.56

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Solution

The fourth proportional to 1,153.83, 1,730.97 and 504.56 is: 756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.83 : 1,730.97 = 504.56 : x
  2. Step 2: Convert to fraction form
    1,153.83/1,730.97 = 504.56/x
  3. Step 3: Cross multiply
    1,153.83x = 1,730.97 × 504.56
  4. Step 4: Simplify right side
    1,153.83x = 873,382.55
  5. Step 5: Solve for x
    x = 873,382.55/1,153.83
  6. Step 6: Final answer
    x = 756.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.