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Finding the Fourth Proportional to 1,354.06, 2,030.55 and 660.70

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Solution

The fourth proportional to 1,354.06, 2,030.55 and 660.70 is: 990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.06 : 2,030.55 = 660.70 : x
  2. Step 2: Convert to fraction form
    1,354.06/2,030.55 = 660.70/x
  3. Step 3: Cross multiply
    1,354.06x = 2,030.55 × 660.70
  4. Step 4: Simplify right side
    1,354.06x = 1,341,584.39
  5. Step 5: Solve for x
    x = 1,341,584.39/1,354.06
  6. Step 6: Final answer
    x = 990.79

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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.