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Finding the Fourth Proportional to 853.40, 1,279.93 and 414.65

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Solution

The fourth proportional to 853.40, 1,279.93 and 414.65 is: 621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.40 : 1,279.93 = 414.65 : x
  2. Step 2: Convert to fraction form
    853.40/1,279.93 = 414.65/x
  3. Step 3: Cross multiply
    853.40x = 1,279.93 × 414.65
  4. Step 4: Simplify right side
    853.40x = 530,722.97
  5. Step 5: Solve for x
    x = 530,722.97/853.40
  6. Step 6: Final answer
    x = 621.89

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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.