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Finding the Fourth Proportional to 1,366.17, 1,885.25 and 776.73

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Solution

The fourth proportional to 1,366.17, 1,885.25 and 776.73 is: 1,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.17 : 1,885.25 = 776.73 : x
  2. Step 2: Convert to fraction form
    1,366.17/1,885.25 = 776.73/x
  3. Step 3: Cross multiply
    1,366.17x = 1,885.25 × 776.73
  4. Step 4: Simplify right side
    1,366.17x = 1,464,326.35
  5. Step 5: Solve for x
    x = 1,464,326.35/1,366.17
  6. Step 6: Final answer
    x = 1,071.85

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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.