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Finding the Fourth Proportional to 853.86, 1,278.14 and 462.89

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Solution

The fourth proportional to 853.86, 1,278.14 and 462.89 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,278.14 = 462.89 : x
  2. Step 2: Convert to fraction form
    853.86/1,278.14 = 462.89/x
  3. Step 3: Cross multiply
    853.86x = 1,278.14 × 462.89
  4. Step 4: Simplify right side
    853.86x = 591,642.58
  5. Step 5: Solve for x
    x = 591,642.58/853.86
  6. Step 6: Final answer
    x = 692.90

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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.