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Finding the Fourth Proportional to 684.91, 1,029.19 and 664.86

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Solution

The fourth proportional to 684.91, 1,029.19 and 664.86 is: 999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.91 : 1,029.19 = 664.86 : x
  2. Step 2: Convert to fraction form
    684.91/1,029.19 = 664.86/x
  3. Step 3: Cross multiply
    684.91x = 1,029.19 × 664.86
  4. Step 4: Simplify right side
    684.91x = 684,267.26
  5. Step 5: Solve for x
    x = 684,267.26/684.91
  6. Step 6: Final answer
    x = 999.06

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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.