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Finding the Fourth Proportional to 1,215.81, 1,677.09 and 773.35

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Solution

The fourth proportional to 1,215.81, 1,677.09 and 773.35 is: 1,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.81 : 1,677.09 = 773.35 : x
  2. Step 2: Convert to fraction form
    1,215.81/1,677.09 = 773.35/x
  3. Step 3: Cross multiply
    1,215.81x = 1,677.09 × 773.35
  4. Step 4: Simplify right side
    1,215.81x = 1,296,977.55
  5. Step 5: Solve for x
    x = 1,296,977.55/1,215.81
  6. Step 6: Final answer
    x = 1,066.76

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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.