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Finding the Fourth Proportional to 923.44, 1,274.34 and 509.44

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Solution

The fourth proportional to 923.44, 1,274.34 and 509.44 is: 703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.44 : 1,274.34 = 509.44 : x
  2. Step 2: Convert to fraction form
    923.44/1,274.34 = 509.44/x
  3. Step 3: Cross multiply
    923.44x = 1,274.34 × 509.44
  4. Step 4: Simplify right side
    923.44x = 649,199.77
  5. Step 5: Solve for x
    x = 649,199.77/923.44
  6. Step 6: Final answer
    x = 703.02

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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.