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Finding the Fourth Proportional to 1,118.41, 1,669.16 and 1,089.25

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Solution

The fourth proportional to 1,118.41, 1,669.16 and 1,089.25 is: 1,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.41 : 1,669.16 = 1,089.25 : x
  2. Step 2: Convert to fraction form
    1,118.41/1,669.16 = 1,089.25/x
  3. Step 3: Cross multiply
    1,118.41x = 1,669.16 × 1,089.25
  4. Step 4: Simplify right side
    1,118.41x = 1,818,124.95
  5. Step 5: Solve for x
    x = 1,818,124.95/1,118.41
  6. Step 6: Final answer
    x = 1,625.64

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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.