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Finding the Fourth Proportional to 701.46, 967.77 and 515.34

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Solution

The fourth proportional to 701.46, 967.77 and 515.34 is: 710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 967.77 = 515.34 : x
  2. Step 2: Convert to fraction form
    701.46/967.77 = 515.34/x
  3. Step 3: Cross multiply
    701.46x = 967.77 × 515.34
  4. Step 4: Simplify right side
    701.46x = 498,730.59
  5. Step 5: Solve for x
    x = 498,730.59/701.46
  6. Step 6: Final answer
    x = 710.99

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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.