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Finding the Fourth Proportional to 923.28, 1,274.16 and 503.64

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Solution

The fourth proportional to 923.28, 1,274.16 and 503.64 is: 695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.28 : 1,274.16 = 503.64 : x
  2. Step 2: Convert to fraction form
    923.28/1,274.16 = 503.64/x
  3. Step 3: Cross multiply
    923.28x = 1,274.16 × 503.64
  4. Step 4: Simplify right side
    923.28x = 641,717.94
  5. Step 5: Solve for x
    x = 641,717.94/923.28
  6. Step 6: Final answer
    x = 695.04

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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.