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Finding the Fourth Proportional to 923.42, 1,274.34 and 503.78

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Solution

The fourth proportional to 923.42, 1,274.34 and 503.78 is: 695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.42 : 1,274.34 = 503.78 : x
  2. Step 2: Convert to fraction form
    923.42/1,274.34 = 503.78/x
  3. Step 3: Cross multiply
    923.42x = 1,274.34 × 503.78
  4. Step 4: Simplify right side
    923.42x = 641,980.63
  5. Step 5: Solve for x
    x = 641,980.63/923.42
  6. Step 6: Final answer
    x = 695.22

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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.