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Finding the Fourth Proportional to 854.86, 1,279.64 and 463.89

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Solution

The fourth proportional to 854.86, 1,279.64 and 463.89 is: 694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.86 : 1,279.64 = 463.89 : x
  2. Step 2: Convert to fraction form
    854.86/1,279.64 = 463.89/x
  3. Step 3: Cross multiply
    854.86x = 1,279.64 × 463.89
  4. Step 4: Simplify right side
    854.86x = 593,612.20
  5. Step 5: Solve for x
    x = 593,612.20/854.86
  6. Step 6: Final answer
    x = 694.40

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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.