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Finding the Fourth Proportional to 684.47, 1,024.62 and 440.48

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Solution

The fourth proportional to 684.47, 1,024.62 and 440.48 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.47 : 1,024.62 = 440.48 : x
  2. Step 2: Convert to fraction form
    684.47/1,024.62 = 440.48/x
  3. Step 3: Cross multiply
    684.47x = 1,024.62 × 440.48
  4. Step 4: Simplify right side
    684.47x = 451,319.49
  5. Step 5: Solve for x
    x = 451,319.49/684.47
  6. Step 6: Final answer
    x = 659.38

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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.