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Finding the Fourth Proportional to 854.46, 1,178.46 and 574.50

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Solution

The fourth proportional to 854.46, 1,178.46 and 574.50 is: 792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.46 : 1,178.46 = 574.50 : x
  2. Step 2: Convert to fraction form
    854.46/1,178.46 = 574.50/x
  3. Step 3: Cross multiply
    854.46x = 1,178.46 × 574.50
  4. Step 4: Simplify right side
    854.46x = 677,025.27
  5. Step 5: Solve for x
    x = 677,025.27/854.46
  6. Step 6: Final answer
    x = 792.34

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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.