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Finding the Fourth Proportional to 605.76, 834.12 and 518.16

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Solution

The fourth proportional to 605.76, 834.12 and 518.16 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 834.12 = 518.16 : x
  2. Step 2: Convert to fraction form
    605.76/834.12 = 518.16/x
  3. Step 3: Cross multiply
    605.76x = 834.12 × 518.16
  4. Step 4: Simplify right side
    605.76x = 432,207.62
  5. Step 5: Solve for x
    x = 432,207.62/605.76
  6. Step 6: Final answer
    x = 713.50

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1.5x scale

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.