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Finding the Fourth Proportional to 515.94, 712.62 and 512.34

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Solution

The fourth proportional to 515.94, 712.62 and 512.34 is: 707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.94 : 712.62 = 512.34 : x
  2. Step 2: Convert to fraction form
    515.94/712.62 = 512.34/x
  3. Step 3: Cross multiply
    515.94x = 712.62 × 512.34
  4. Step 4: Simplify right side
    515.94x = 365,103.73
  5. Step 5: Solve for x
    x = 365,103.73/515.94
  6. Step 6: Final answer
    x = 707.65

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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.