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Finding the Fourth Proportional to 1,093.06, 1,509.20 and 673.54

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Solution

The fourth proportional to 1,093.06, 1,509.20 and 673.54 is: 929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.06 : 1,509.20 = 673.54 : x
  2. Step 2: Convert to fraction form
    1,093.06/1,509.20 = 673.54/x
  3. Step 3: Cross multiply
    1,093.06x = 1,509.20 × 673.54
  4. Step 4: Simplify right side
    1,093.06x = 1,016,506.57
  5. Step 5: Solve for x
    x = 1,016,506.57/1,093.06
  6. Step 6: Final answer
    x = 929.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.