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Finding the Fourth Proportional to 684.38, 1,027.03 and 511.24

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Solution

The fourth proportional to 684.38, 1,027.03 and 511.24 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 1,027.03 = 511.24 : x
  2. Step 2: Convert to fraction form
    684.38/1,027.03 = 511.24/x
  3. Step 3: Cross multiply
    684.38x = 1,027.03 × 511.24
  4. Step 4: Simplify right side
    684.38x = 525,058.82
  5. Step 5: Solve for x
    x = 525,058.82/684.38
  6. Step 6: Final answer
    x = 767.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.