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Finding the Fourth Proportional to 733.45, 1,098.70 and 342.91

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Solution

The fourth proportional to 733.45, 1,098.70 and 342.91 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.45 : 1,098.70 = 342.91 : x
  2. Step 2: Convert to fraction form
    733.45/1,098.70 = 342.91/x
  3. Step 3: Cross multiply
    733.45x = 1,098.70 × 342.91
  4. Step 4: Simplify right side
    733.45x = 376,753.50
  5. Step 5: Solve for x
    x = 376,753.50/733.45
  6. Step 6: Final answer
    x = 513.68

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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.