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Finding the Fourth Proportional to 1,366.89, 1,886.31 and 777.62

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Solution

The fourth proportional to 1,366.89, 1,886.31 and 777.62 is: 1,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.89 : 1,886.31 = 777.62 : x
  2. Step 2: Convert to fraction form
    1,366.89/1,886.31 = 777.62/x
  3. Step 3: Cross multiply
    1,366.89x = 1,886.31 × 777.62
  4. Step 4: Simplify right side
    1,366.89x = 1,466,822.95
  5. Step 5: Solve for x
    x = 1,466,822.95/1,366.89
  6. Step 6: Final answer
    x = 1,073.11

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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.