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Finding the Fourth Proportional to 1,131.18, 1,703.88 and 1,029.12

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Solution

The fourth proportional to 1,131.18, 1,703.88 and 1,029.12 is: 1,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.18 : 1,703.88 = 1,029.12 : x
  2. Step 2: Convert to fraction form
    1,131.18/1,703.88 = 1,029.12/x
  3. Step 3: Cross multiply
    1,131.18x = 1,703.88 × 1,029.12
  4. Step 4: Simplify right side
    1,131.18x = 1,753,496.99
  5. Step 5: Solve for x
    x = 1,753,496.99/1,131.18
  6. Step 6: Final answer
    x = 1,550.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.