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Finding the Fourth Proportional to 924.54, 1,381.20 and 662.46

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Solution

The fourth proportional to 924.54, 1,381.20 and 662.46 is: 989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.54 : 1,381.20 = 662.46 : x
  2. Step 2: Convert to fraction form
    924.54/1,381.20 = 662.46/x
  3. Step 3: Cross multiply
    924.54x = 1,381.20 × 662.46
  4. Step 4: Simplify right side
    924.54x = 914,989.75
  5. Step 5: Solve for x
    x = 914,989.75/924.54
  6. Step 6: Final answer
    x = 989.67

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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.