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Finding the Fourth Proportional to 854.07, 1,279.86 and 463.74

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Solution

The fourth proportional to 854.07, 1,279.86 and 463.74 is: 694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.07 : 1,279.86 = 463.74 : x
  2. Step 2: Convert to fraction form
    854.07/1,279.86 = 463.74/x
  3. Step 3: Cross multiply
    854.07x = 1,279.86 × 463.74
  4. Step 4: Simplify right side
    854.07x = 593,522.28
  5. Step 5: Solve for x
    x = 593,522.28/854.07
  6. Step 6: Final answer
    x = 694.93

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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.