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Finding the Fourth Proportional to 853.08, 1,279.70 and 527.77

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Solution

The fourth proportional to 853.08, 1,279.70 and 527.77 is: 791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.08 : 1,279.70 = 527.77 : x
  2. Step 2: Convert to fraction form
    853.08/1,279.70 = 527.77/x
  3. Step 3: Cross multiply
    853.08x = 1,279.70 × 527.77
  4. Step 4: Simplify right side
    853.08x = 675,381.01
  5. Step 5: Solve for x
    x = 675,381.01/853.08
  6. Step 6: Final answer
    x = 791.70

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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.