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Finding the Fourth Proportional to 684.70, 1,024.62 and 394.72

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Solution

The fourth proportional to 684.70, 1,024.62 and 394.72 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.70 : 1,024.62 = 394.72 : x
  2. Step 2: Convert to fraction form
    684.70/1,024.62 = 394.72/x
  3. Step 3: Cross multiply
    684.70x = 1,024.62 × 394.72
  4. Step 4: Simplify right side
    684.70x = 404,438.01
  5. Step 5: Solve for x
    x = 404,438.01/684.70
  6. Step 6: Final answer
    x = 590.68

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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.