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Finding the Fourth Proportional to 1,131.03, 1,561.82 and 712.13

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Solution

The fourth proportional to 1,131.03, 1,561.82 and 712.13 is: 983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.03 : 1,561.82 = 712.13 : x
  2. Step 2: Convert to fraction form
    1,131.03/1,561.82 = 712.13/x
  3. Step 3: Cross multiply
    1,131.03x = 1,561.82 × 712.13
  4. Step 4: Simplify right side
    1,131.03x = 1,112,207.51
  5. Step 5: Solve for x
    x = 1,112,207.51/1,131.03
  6. Step 6: Final answer
    x = 983.36

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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.