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Finding the Fourth Proportional to 1,220.53, 1,830.75 and 809.55

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Solution

The fourth proportional to 1,220.53, 1,830.75 and 809.55 is: 1,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.53 : 1,830.75 = 809.55 : x
  2. Step 2: Convert to fraction form
    1,220.53/1,830.75 = 809.55/x
  3. Step 3: Cross multiply
    1,220.53x = 1,830.75 × 809.55
  4. Step 4: Simplify right side
    1,220.53x = 1,482,083.66
  5. Step 5: Solve for x
    x = 1,482,083.66/1,220.53
  6. Step 6: Final answer
    x = 1,214.30

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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.