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Finding the Fourth Proportional to 1,131.53, 1,561.09 and 705.96

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Solution

The fourth proportional to 1,131.53, 1,561.09 and 705.96 is: 973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.53 : 1,561.09 = 705.96 : x
  2. Step 2: Convert to fraction form
    1,131.53/1,561.09 = 705.96/x
  3. Step 3: Cross multiply
    1,131.53x = 1,561.09 × 705.96
  4. Step 4: Simplify right side
    1,131.53x = 1,102,067.10
  5. Step 5: Solve for x
    x = 1,102,067.10/1,131.53
  6. Step 6: Final answer
    x = 973.96

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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.