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Finding the Fourth Proportional to 684.87, 1,027.55 and 314.49

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Solution

The fourth proportional to 684.87, 1,027.55 and 314.49 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.87 : 1,027.55 = 314.49 : x
  2. Step 2: Convert to fraction form
    684.87/1,027.55 = 314.49/x
  3. Step 3: Cross multiply
    684.87x = 1,027.55 × 314.49
  4. Step 4: Simplify right side
    684.87x = 323,154.20
  5. Step 5: Solve for x
    x = 323,154.20/684.87
  6. Step 6: Final answer
    x = 471.85

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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.