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Finding the Fourth Proportional to 923.36, 1,274.27 and 503.74

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Solution

The fourth proportional to 923.36, 1,274.27 and 503.74 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.36 : 1,274.27 = 503.74 : x
  2. Step 2: Convert to fraction form
    923.36/1,274.27 = 503.74/x
  3. Step 3: Cross multiply
    923.36x = 1,274.27 × 503.74
  4. Step 4: Simplify right side
    923.36x = 641,901.56
  5. Step 5: Solve for x
    x = 641,901.56/923.36
  6. Step 6: Final answer
    x = 695.18

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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.