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Finding the Fourth Proportional to 733.02, 1,098.57 and 300.06

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Solution

The fourth proportional to 733.02, 1,098.57 and 300.06 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,098.57 = 300.06 : x
  2. Step 2: Convert to fraction form
    733.02/1,098.57 = 300.06/x
  3. Step 3: Cross multiply
    733.02x = 1,098.57 × 300.06
  4. Step 4: Simplify right side
    733.02x = 329,636.91
  5. Step 5: Solve for x
    x = 329,636.91/733.02
  6. Step 6: Final answer
    x = 449.70

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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.