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Finding the Fourth Proportional to 1,137.23, 1,568.82 and 805.83

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Solution

The fourth proportional to 1,137.23, 1,568.82 and 805.83 is: 1,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.23 : 1,568.82 = 805.83 : x
  2. Step 2: Convert to fraction form
    1,137.23/1,568.82 = 805.83/x
  3. Step 3: Cross multiply
    1,137.23x = 1,568.82 × 805.83
  4. Step 4: Simplify right side
    1,137.23x = 1,264,202.22
  5. Step 5: Solve for x
    x = 1,264,202.22/1,137.23
  6. Step 6: Final answer
    x = 1,111.65

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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.