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Finding the Fourth Proportional to 922.19, 1,381.46 and 738.72

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Solution

The fourth proportional to 922.19, 1,381.46 and 738.72 is: 1,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.19 : 1,381.46 = 738.72 : x
  2. Step 2: Convert to fraction form
    922.19/1,381.46 = 738.72/x
  3. Step 3: Cross multiply
    922.19x = 1,381.46 × 738.72
  4. Step 4: Simplify right side
    922.19x = 1,020,508.44
  5. Step 5: Solve for x
    x = 1,020,508.44/922.19
  6. Step 6: Final answer
    x = 1,106.62

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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.