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Finding the Fourth Proportional to 609.06, 912.76 and 502.14

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Solution

The fourth proportional to 609.06, 912.76 and 502.14 is: 752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.06 : 912.76 = 502.14 : x
  2. Step 2: Convert to fraction form
    609.06/912.76 = 502.14/x
  3. Step 3: Cross multiply
    609.06x = 912.76 × 502.14
  4. Step 4: Simplify right side
    609.06x = 458,333.31
  5. Step 5: Solve for x
    x = 458,333.31/609.06
  6. Step 6: Final answer
    x = 752.53

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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.