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Finding the Fourth Proportional to 679.95, 938.25 and 514.17

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Solution

The fourth proportional to 679.95, 938.25 and 514.17 is: 709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.95 : 938.25 = 514.17 : x
  2. Step 2: Convert to fraction form
    679.95/938.25 = 514.17/x
  3. Step 3: Cross multiply
    679.95x = 938.25 × 514.17
  4. Step 4: Simplify right side
    679.95x = 482,420.00
  5. Step 5: Solve for x
    x = 482,420.00/679.95
  6. Step 6: Final answer
    x = 709.49

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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.