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Finding the Fourth Proportional to 1,366.90, 1,885.92 and 777.43

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Solution

The fourth proportional to 1,366.90, 1,885.92 and 777.43 is: 1,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.90 : 1,885.92 = 777.43 : x
  2. Step 2: Convert to fraction form
    1,366.90/1,885.92 = 777.43/x
  3. Step 3: Cross multiply
    1,366.90x = 1,885.92 × 777.43
  4. Step 4: Simplify right side
    1,366.90x = 1,466,170.79
  5. Step 5: Solve for x
    x = 1,466,170.79/1,366.90
  6. Step 6: Final answer
    x = 1,072.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.