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Finding the Fourth Proportional to 1,109.15, 1,665.24 and 697.06

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Solution

The fourth proportional to 1,109.15, 1,665.24 and 697.06 is: 1,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.15 : 1,665.24 = 697.06 : x
  2. Step 2: Convert to fraction form
    1,109.15/1,665.24 = 697.06/x
  3. Step 3: Cross multiply
    1,109.15x = 1,665.24 × 697.06
  4. Step 4: Simplify right side
    1,109.15x = 1,160,760.38
  5. Step 5: Solve for x
    x = 1,160,760.38/1,109.15
  6. Step 6: Final answer
    x = 1,046.54

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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.