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Finding the Fourth Proportional to 1,364.50, 1,880.86 and 891.56

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Solution

The fourth proportional to 1,364.50, 1,880.86 and 891.56 is: 1,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.50 : 1,880.86 = 891.56 : x
  2. Step 2: Convert to fraction form
    1,364.50/1,880.86 = 891.56/x
  3. Step 3: Cross multiply
    1,364.50x = 1,880.86 × 891.56
  4. Step 4: Simplify right side
    1,364.50x = 1,676,899.54
  5. Step 5: Solve for x
    x = 1,676,899.54/1,364.50
  6. Step 6: Final answer
    x = 1,228.95

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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.