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Finding the Fourth Proportional to 1,109.70, 1,661.76 and 745.20

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Solution

The fourth proportional to 1,109.70, 1,661.76 and 745.20 is: 1,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.70 : 1,661.76 = 745.20 : x
  2. Step 2: Convert to fraction form
    1,109.70/1,661.76 = 745.20/x
  3. Step 3: Cross multiply
    1,109.70x = 1,661.76 × 745.20
  4. Step 4: Simplify right side
    1,109.70x = 1,238,343.55
  5. Step 5: Solve for x
    x = 1,238,343.55/1,109.70
  6. Step 6: Final answer
    x = 1,115.93

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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.