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Finding the Fourth Proportional to 732.83, 1,098.75 and 342.62

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Solution

The fourth proportional to 732.83, 1,098.75 and 342.62 is: 513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.83 : 1,098.75 = 342.62 : x
  2. Step 2: Convert to fraction form
    732.83/1,098.75 = 342.62/x
  3. Step 3: Cross multiply
    732.83x = 1,098.75 × 342.62
  4. Step 4: Simplify right side
    732.83x = 376,453.73
  5. Step 5: Solve for x
    x = 376,453.73/732.83
  6. Step 6: Final answer
    x = 513.70

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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.