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Finding the Fourth Proportional to 684.78, 1,026.93 and 299.82

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Solution

The fourth proportional to 684.78, 1,026.93 and 299.82 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.78 : 1,026.93 = 299.82 : x
  2. Step 2: Convert to fraction form
    684.78/1,026.93 = 299.82/x
  3. Step 3: Cross multiply
    684.78x = 1,026.93 × 299.82
  4. Step 4: Simplify right side
    684.78x = 307,894.15
  5. Step 5: Solve for x
    x = 307,894.15/684.78
  6. Step 6: Final answer
    x = 449.62

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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.