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Finding the Fourth Proportional to 923.63, 1,274.61 and 509.63

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Solution

The fourth proportional to 923.63, 1,274.61 and 509.63 is: 703.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.63 : 1,274.61 = 509.63 : x
  2. Step 2: Convert to fraction form
    923.63/1,274.61 = 509.63/x
  3. Step 3: Cross multiply
    923.63x = 1,274.61 × 509.63
  4. Step 4: Simplify right side
    923.63x = 649,573.12
  5. Step 5: Solve for x
    x = 649,573.12/923.63
  6. Step 6: Final answer
    x = 703.29

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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.