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Finding the Fourth Proportional to 684.20, 1,024.18 and 509.85

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Solution

The fourth proportional to 684.20, 1,024.18 and 509.85 is: 763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.20 : 1,024.18 = 509.85 : x
  2. Step 2: Convert to fraction form
    684.20/1,024.18 = 509.85/x
  3. Step 3: Cross multiply
    684.20x = 1,024.18 × 509.85
  4. Step 4: Simplify right side
    684.20x = 522,176.90
  5. Step 5: Solve for x
    x = 522,176.90/684.20
  6. Step 6: Final answer
    x = 763.19

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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.