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Finding the Fourth Proportional to 1,153.86, 1,730.97 and 504.24

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Solution

The fourth proportional to 1,153.86, 1,730.97 and 504.24 is: 756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.86 : 1,730.97 = 504.24 : x
  2. Step 2: Convert to fraction form
    1,153.86/1,730.97 = 504.24/x
  3. Step 3: Cross multiply
    1,153.86x = 1,730.97 × 504.24
  4. Step 4: Simplify right side
    1,153.86x = 872,824.31
  5. Step 5: Solve for x
    x = 872,824.31/1,153.86
  6. Step 6: Final answer
    x = 756.44

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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.