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Finding the Fourth Proportional to 1,366.22, 1,885.50 and 776.72

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Solution

The fourth proportional to 1,366.22, 1,885.50 and 776.72 is: 1,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.22 : 1,885.50 = 776.72 : x
  2. Step 2: Convert to fraction form
    1,366.22/1,885.50 = 776.72/x
  3. Step 3: Cross multiply
    1,366.22x = 1,885.50 × 776.72
  4. Step 4: Simplify right side
    1,366.22x = 1,464,505.56
  5. Step 5: Solve for x
    x = 1,464,505.56/1,366.22
  6. Step 6: Final answer
    x = 1,071.94

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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.