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Finding the Fourth Proportional to 777.89, 1,068.42 and 729.69

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Solution

The fourth proportional to 777.89, 1,068.42 and 729.69 is: 1,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.89 : 1,068.42 = 729.69 : x
  2. Step 2: Convert to fraction form
    777.89/1,068.42 = 729.69/x
  3. Step 3: Cross multiply
    777.89x = 1,068.42 × 729.69
  4. Step 4: Simplify right side
    777.89x = 779,615.39
  5. Step 5: Solve for x
    x = 779,615.39/777.89
  6. Step 6: Final answer
    x = 1,002.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.