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Finding the Fourth Proportional to 1,033.30, 1,540.99 and 880.21

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Solution

The fourth proportional to 1,033.30, 1,540.99 and 880.21 is: 1,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.30 : 1,540.99 = 880.21 : x
  2. Step 2: Convert to fraction form
    1,033.30/1,540.99 = 880.21/x
  3. Step 3: Cross multiply
    1,033.30x = 1,540.99 × 880.21
  4. Step 4: Simplify right side
    1,033.30x = 1,356,394.81
  5. Step 5: Solve for x
    x = 1,356,394.81/1,033.30
  6. Step 6: Final answer
    x = 1,312.68

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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.