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Finding the Fourth Proportional to 1,207.46, 1,811.20 and 660.10

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Solution

The fourth proportional to 1,207.46, 1,811.20 and 660.10 is: 990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.46 : 1,811.20 = 660.10 : x
  2. Step 2: Convert to fraction form
    1,207.46/1,811.20 = 660.10/x
  3. Step 3: Cross multiply
    1,207.46x = 1,811.20 × 660.10
  4. Step 4: Simplify right side
    1,207.46x = 1,195,573.12
  5. Step 5: Solve for x
    x = 1,195,573.12/1,207.46
  6. Step 6: Final answer
    x = 990.16

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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.