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Finding the Fourth Proportional to 733.86, 1,011.09 and 484.74

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Solution

The fourth proportional to 733.86, 1,011.09 and 484.74 is: 667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,011.09 = 484.74 : x
  2. Step 2: Convert to fraction form
    733.86/1,011.09 = 484.74/x
  3. Step 3: Cross multiply
    733.86x = 1,011.09 × 484.74
  4. Step 4: Simplify right side
    733.86x = 490,115.77
  5. Step 5: Solve for x
    x = 490,115.77/733.86
  6. Step 6: Final answer
    x = 667.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.