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Finding the Fourth Proportional to 923.66, 1,274.62 and 504.02

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Solution

The fourth proportional to 923.66, 1,274.62 and 504.02 is: 695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.66 : 1,274.62 = 504.02 : x
  2. Step 2: Convert to fraction form
    923.66/1,274.62 = 504.02/x
  3. Step 3: Cross multiply
    923.66x = 1,274.62 × 504.02
  4. Step 4: Simplify right side
    923.66x = 642,433.97
  5. Step 5: Solve for x
    x = 642,433.97/923.66
  6. Step 6: Final answer
    x = 695.53

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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.