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Finding the Fourth Proportional to 733.46, 1,098.16 and 490.05

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Solution

The fourth proportional to 733.46, 1,098.16 and 490.05 is: 733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,098.16 = 490.05 : x
  2. Step 2: Convert to fraction form
    733.46/1,098.16 = 490.05/x
  3. Step 3: Cross multiply
    733.46x = 1,098.16 × 490.05
  4. Step 4: Simplify right side
    733.46x = 538,152.08
  5. Step 5: Solve for x
    x = 538,152.08/733.46
  6. Step 6: Final answer
    x = 733.72

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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.