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Finding the Fourth Proportional to 684.85, 1,027.50 and 245.81

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Solution

The fourth proportional to 684.85, 1,027.50 and 245.81 is: 368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.85 : 1,027.50 = 245.81 : x
  2. Step 2: Convert to fraction form
    684.85/1,027.50 = 245.81/x
  3. Step 3: Cross multiply
    684.85x = 1,027.50 × 245.81
  4. Step 4: Simplify right side
    684.85x = 252,564.02
  5. Step 5: Solve for x
    x = 252,564.02/684.85
  6. Step 6: Final answer
    x = 368.79

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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.