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Finding the Fourth Proportional to 916.02, 1,376.82 and 806.70

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Solution

The fourth proportional to 916.02, 1,376.82 and 806.70 is: 1,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.02 : 1,376.82 = 806.70 : x
  2. Step 2: Convert to fraction form
    916.02/1,376.82 = 806.70/x
  3. Step 3: Cross multiply
    916.02x = 1,376.82 × 806.70
  4. Step 4: Simplify right side
    916.02x = 1,110,680.69
  5. Step 5: Solve for x
    x = 1,110,680.69/916.02
  6. Step 6: Final answer
    x = 1,212.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.