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Finding the Fourth Proportional to 923.97, 1,275.11 and 504.36

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Solution

The fourth proportional to 923.97, 1,275.11 and 504.36 is: 696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.97 : 1,275.11 = 504.36 : x
  2. Step 2: Convert to fraction form
    923.97/1,275.11 = 504.36/x
  3. Step 3: Cross multiply
    923.97x = 1,275.11 × 504.36
  4. Step 4: Simplify right side
    923.97x = 643,113.85
  5. Step 5: Solve for x
    x = 643,113.85/923.97
  6. Step 6: Final answer
    x = 696.03

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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.