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Finding the Fourth Proportional to 1,109.90, 1,661.72 and 925.37

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Solution

The fourth proportional to 1,109.90, 1,661.72 and 925.37 is: 1,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,661.72 = 925.37 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,661.72 = 925.37/x
  3. Step 3: Cross multiply
    1,109.90x = 1,661.72 × 925.37
  4. Step 4: Simplify right side
    1,109.90x = 1,537,708.48
  5. Step 5: Solve for x
    x = 1,537,708.48/1,109.90
  6. Step 6: Final answer
    x = 1,385.44

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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.