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Finding the Fourth Proportional to 1,105.97, 1,525.97 and 810.72

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Solution

The fourth proportional to 1,105.97, 1,525.97 and 810.72 is: 1,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.97 : 1,525.97 = 810.72 : x
  2. Step 2: Convert to fraction form
    1,105.97/1,525.97 = 810.72/x
  3. Step 3: Cross multiply
    1,105.97x = 1,525.97 × 810.72
  4. Step 4: Simplify right side
    1,105.97x = 1,237,136.43
  5. Step 5: Solve for x
    x = 1,237,136.43/1,105.97
  6. Step 6: Final answer
    x = 1,118.60

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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.