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Finding the Fourth Proportional to 1,105.54, 1,525.20 and 685.74

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Solution

The fourth proportional to 1,105.54, 1,525.20 and 685.74 is: 946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.54 : 1,525.20 = 685.74 : x
  2. Step 2: Convert to fraction form
    1,105.54/1,525.20 = 685.74/x
  3. Step 3: Cross multiply
    1,105.54x = 1,525.20 × 685.74
  4. Step 4: Simplify right side
    1,105.54x = 1,045,890.65
  5. Step 5: Solve for x
    x = 1,045,890.65/1,105.54
  6. Step 6: Final answer
    x = 946.05

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