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Finding the Fourth Proportional to 733.85, 1,105.74 and 606.70

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Solution

The fourth proportional to 733.85, 1,105.74 and 606.70 is: 914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.85 : 1,105.74 = 606.70 : x
  2. Step 2: Convert to fraction form
    733.85/1,105.74 = 606.70/x
  3. Step 3: Cross multiply
    733.85x = 1,105.74 × 606.70
  4. Step 4: Simplify right side
    733.85x = 670,853.84
  5. Step 5: Solve for x
    x = 670,853.84/733.85
  6. Step 6: Final answer
    x = 914.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.