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Finding the Fourth Proportional to 1,135.06, 1,689.94 and 1,118.86

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Solution

The fourth proportional to 1,135.06, 1,689.94 and 1,118.86 is: 1,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.06 : 1,689.94 = 1,118.86 : x
  2. Step 2: Convert to fraction form
    1,135.06/1,689.94 = 1,118.86/x
  3. Step 3: Cross multiply
    1,135.06x = 1,689.94 × 1,118.86
  4. Step 4: Simplify right side
    1,135.06x = 1,890,806.27
  5. Step 5: Solve for x
    x = 1,890,806.27/1,135.06
  6. Step 6: Final answer
    x = 1,665.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.