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Finding the Fourth Proportional to 1,354.48, 2,030.44 and 660.36

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Solution

The fourth proportional to 1,354.48, 2,030.44 and 660.36 is: 989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.48 : 2,030.44 = 660.36 : x
  2. Step 2: Convert to fraction form
    1,354.48/2,030.44 = 660.36/x
  3. Step 3: Cross multiply
    1,354.48x = 2,030.44 × 660.36
  4. Step 4: Simplify right side
    1,354.48x = 1,340,821.36
  5. Step 5: Solve for x
    x = 1,340,821.36/1,354.48
  6. Step 6: Final answer
    x = 989.92

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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.