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Finding the Fourth Proportional to 521.76, 776.93 and 515.96

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Solution

The fourth proportional to 521.76, 776.93 and 515.96 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.76 : 776.93 = 515.96 : x
  2. Step 2: Convert to fraction form
    521.76/776.93 = 515.96/x
  3. Step 3: Cross multiply
    521.76x = 776.93 × 515.96
  4. Step 4: Simplify right side
    521.76x = 400,861.25
  5. Step 5: Solve for x
    x = 400,861.25/521.76
  6. Step 6: Final answer
    x = 768.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.