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Finding the Fourth Proportional to 684.66, 1,026.63 and 245.85

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Solution

The fourth proportional to 684.66, 1,026.63 and 245.85 is: 368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.66 : 1,026.63 = 245.85 : x
  2. Step 2: Convert to fraction form
    684.66/1,026.63 = 245.85/x
  3. Step 3: Cross multiply
    684.66x = 1,026.63 × 245.85
  4. Step 4: Simplify right side
    684.66x = 252,396.99
  5. Step 5: Solve for x
    x = 252,396.99/684.66
  6. Step 6: Final answer
    x = 368.65

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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.