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Finding the Fourth Proportional to 916.58, 1,367.74 and 894.62

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Solution

The fourth proportional to 916.58, 1,367.74 and 894.62 is: 1,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.58 : 1,367.74 = 894.62 : x
  2. Step 2: Convert to fraction form
    916.58/1,367.74 = 894.62/x
  3. Step 3: Cross multiply
    916.58x = 1,367.74 × 894.62
  4. Step 4: Simplify right side
    916.58x = 1,223,607.56
  5. Step 5: Solve for x
    x = 1,223,607.56/916.58
  6. Step 6: Final answer
    x = 1,334.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.