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Finding the Fourth Proportional to 675.30, 930.51 and 517.92

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Solution

The fourth proportional to 675.30, 930.51 and 517.92 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.30 : 930.51 = 517.92 : x
  2. Step 2: Convert to fraction form
    675.30/930.51 = 517.92/x
  3. Step 3: Cross multiply
    675.30x = 930.51 × 517.92
  4. Step 4: Simplify right side
    675.30x = 481,929.74
  5. Step 5: Solve for x
    x = 481,929.74/675.30
  6. Step 6: Final answer
    x = 713.65

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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.