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Finding the Fourth Proportional to 1,366.76, 1,886.27 and 777.35

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Solution

The fourth proportional to 1,366.76, 1,886.27 and 777.35 is: 1,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.76 : 1,886.27 = 777.35 : x
  2. Step 2: Convert to fraction form
    1,366.76/1,886.27 = 777.35/x
  3. Step 3: Cross multiply
    1,366.76x = 1,886.27 × 777.35
  4. Step 4: Simplify right side
    1,366.76x = 1,466,278.67
  5. Step 5: Solve for x
    x = 1,466,278.67/1,366.76
  6. Step 6: Final answer
    x = 1,072.82

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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.