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Finding the Fourth Proportional to 854.70, 1,179.41 and 589.43

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Solution

The fourth proportional to 854.70, 1,179.41 and 589.43 is: 813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.70 : 1,179.41 = 589.43 : x
  2. Step 2: Convert to fraction form
    854.70/1,179.41 = 589.43/x
  3. Step 3: Cross multiply
    854.70x = 1,179.41 × 589.43
  4. Step 4: Simplify right side
    854.70x = 695,170.79
  5. Step 5: Solve for x
    x = 695,170.79/854.70
  6. Step 6: Final answer
    x = 813.35

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