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Finding the Fourth Proportional to 854.30, 1,179.70 and 540.14

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Solution

The fourth proportional to 854.30, 1,179.70 and 540.14 is: 745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.30 : 1,179.70 = 540.14 : x
  2. Step 2: Convert to fraction form
    854.30/1,179.70 = 540.14/x
  3. Step 3: Cross multiply
    854.30x = 1,179.70 × 540.14
  4. Step 4: Simplify right side
    854.30x = 637,195.91
  5. Step 5: Solve for x
    x = 637,195.91/854.30
  6. Step 6: Final answer
    x = 745.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.