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Finding the Fourth Proportional to 1,127.98, 1,690.15 and 794.46

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Solution

The fourth proportional to 1,127.98, 1,690.15 and 794.46 is: 1,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.98 : 1,690.15 = 794.46 : x
  2. Step 2: Convert to fraction form
    1,127.98/1,690.15 = 794.46/x
  3. Step 3: Cross multiply
    1,127.98x = 1,690.15 × 794.46
  4. Step 4: Simplify right side
    1,127.98x = 1,342,756.57
  5. Step 5: Solve for x
    x = 1,342,756.57/1,127.98
  6. Step 6: Final answer
    x = 1,190.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.