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Finding the Fourth Proportional to 733.10, 1,099.80 and 473.08

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Solution

The fourth proportional to 733.10, 1,099.80 and 473.08 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.10 : 1,099.80 = 473.08 : x
  2. Step 2: Convert to fraction form
    733.10/1,099.80 = 473.08/x
  3. Step 3: Cross multiply
    733.10x = 1,099.80 × 473.08
  4. Step 4: Simplify right side
    733.10x = 520,293.38
  5. Step 5: Solve for x
    x = 520,293.38/733.10
  6. Step 6: Final answer
    x = 709.72

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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.