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Finding the Fourth Proportional to 1,368.77, 1,889.24 and 920.70

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Solution

The fourth proportional to 1,368.77, 1,889.24 and 920.70 is: 1,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.77 : 1,889.24 = 920.70 : x
  2. Step 2: Convert to fraction form
    1,368.77/1,889.24 = 920.70/x
  3. Step 3: Cross multiply
    1,368.77x = 1,889.24 × 920.70
  4. Step 4: Simplify right side
    1,368.77x = 1,739,418.66
  5. Step 5: Solve for x
    x = 1,739,418.66/1,368.77
  6. Step 6: Final answer
    x = 1,270.79

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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.