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Finding the Fourth Proportional to 777.60, 1,167.12 and 344.88

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Solution

The fourth proportional to 777.60, 1,167.12 and 344.88 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,167.12 = 344.88 : x
  2. Step 2: Convert to fraction form
    777.60/1,167.12 = 344.88/x
  3. Step 3: Cross multiply
    777.60x = 1,167.12 × 344.88
  4. Step 4: Simplify right side
    777.60x = 402,516.35
  5. Step 5: Solve for x
    x = 402,516.35/777.60
  6. Step 6: Final answer
    x = 517.64

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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.