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Finding the Fourth Proportional to 675.51, 930.81 and 518.14

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Solution

The fourth proportional to 675.51, 930.81 and 518.14 is: 713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.51 : 930.81 = 518.14 : x
  2. Step 2: Convert to fraction form
    675.51/930.81 = 518.14/x
  3. Step 3: Cross multiply
    675.51x = 930.81 × 518.14
  4. Step 4: Simplify right side
    675.51x = 482,285.24
  5. Step 5: Solve for x
    x = 482,285.24/675.51
  6. Step 6: Final answer
    x = 713.96

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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.