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Finding the Fourth Proportional to 1,109.82, 1,520.46 and 1,068.30

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Solution

The fourth proportional to 1,109.82, 1,520.46 and 1,068.30 is: 1,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.82 : 1,520.46 = 1,068.30 : x
  2. Step 2: Convert to fraction form
    1,109.82/1,520.46 = 1,068.30/x
  3. Step 3: Cross multiply
    1,109.82x = 1,520.46 × 1,068.30
  4. Step 4: Simplify right side
    1,109.82x = 1,624,307.42
  5. Step 5: Solve for x
    x = 1,624,307.42/1,109.82
  6. Step 6: Final answer
    x = 1,463.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.