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Finding the Fourth Proportional to 923.98, 1,275.13 and 504.36

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Solution

The fourth proportional to 923.98, 1,275.13 and 504.36 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.98 : 1,275.13 = 504.36 : x
  2. Step 2: Convert to fraction form
    923.98/1,275.13 = 504.36/x
  3. Step 3: Cross multiply
    923.98x = 1,275.13 × 504.36
  4. Step 4: Simplify right side
    923.98x = 643,124.57
  5. Step 5: Solve for x
    x = 643,124.57/923.98
  6. Step 6: Final answer
    x = 696.04

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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.