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Finding the Fourth Proportional to 892.95, 1,339.49 and 307.92

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Solution

The fourth proportional to 892.95, 1,339.49 and 307.92 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.95 : 1,339.49 = 307.92 : x
  2. Step 2: Convert to fraction form
    892.95/1,339.49 = 307.92/x
  3. Step 3: Cross multiply
    892.95x = 1,339.49 × 307.92
  4. Step 4: Simplify right side
    892.95x = 412,455.76
  5. Step 5: Solve for x
    x = 412,455.76/892.95
  6. Step 6: Final answer
    x = 461.90

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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.