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Finding the Fourth Proportional to 684.14, 1,027.12 and 582.08

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Solution

The fourth proportional to 684.14, 1,027.12 and 582.08 is: 873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.14 : 1,027.12 = 582.08 : x
  2. Step 2: Convert to fraction form
    684.14/1,027.12 = 582.08/x
  3. Step 3: Cross multiply
    684.14x = 1,027.12 × 582.08
  4. Step 4: Simplify right side
    684.14x = 597,867.46
  5. Step 5: Solve for x
    x = 597,867.46/684.14
  6. Step 6: Final answer
    x = 873.90

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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.