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Finding the Fourth Proportional to 777.96, 1,168.38 and 521.64

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Solution

The fourth proportional to 777.96, 1,168.38 and 521.64 is: 783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.96 : 1,168.38 = 521.64 : x
  2. Step 2: Convert to fraction form
    777.96/1,168.38 = 521.64/x
  3. Step 3: Cross multiply
    777.96x = 1,168.38 × 521.64
  4. Step 4: Simplify right side
    777.96x = 609,473.74
  5. Step 5: Solve for x
    x = 609,473.74/777.96
  6. Step 6: Final answer
    x = 783.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.