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Finding the Fourth Proportional to 1,118.98, 1,540.84 and 922.15

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Solution

The fourth proportional to 1,118.98, 1,540.84 and 922.15 is: 1,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.98 : 1,540.84 = 922.15 : x
  2. Step 2: Convert to fraction form
    1,118.98/1,540.84 = 922.15/x
  3. Step 3: Cross multiply
    1,118.98x = 1,540.84 × 922.15
  4. Step 4: Simplify right side
    1,118.98x = 1,420,875.60
  5. Step 5: Solve for x
    x = 1,420,875.60/1,118.98
  6. Step 6: Final answer
    x = 1,269.80

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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.