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Finding the Fourth Proportional to 923.81, 1,274.86 and 509.81

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Solution

The fourth proportional to 923.81, 1,274.86 and 509.81 is: 703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.81 : 1,274.86 = 509.81 : x
  2. Step 2: Convert to fraction form
    923.81/1,274.86 = 509.81/x
  3. Step 3: Cross multiply
    923.81x = 1,274.86 × 509.81
  4. Step 4: Simplify right side
    923.81x = 649,940.20
  5. Step 5: Solve for x
    x = 649,940.20/923.81
  6. Step 6: Final answer
    x = 703.54

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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.