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Finding the Fourth Proportional to 1,109.18, 1,662.64 and 719.42

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Solution

The fourth proportional to 1,109.18, 1,662.64 and 719.42 is: 1,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.18 : 1,662.64 = 719.42 : x
  2. Step 2: Convert to fraction form
    1,109.18/1,662.64 = 719.42/x
  3. Step 3: Cross multiply
    1,109.18x = 1,662.64 × 719.42
  4. Step 4: Simplify right side
    1,109.18x = 1,196,138.83
  5. Step 5: Solve for x
    x = 1,196,138.83/1,109.18
  6. Step 6: Final answer
    x = 1,078.40

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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.