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Finding the Fourth Proportional to 1,111.22, 1,658.38 and 988.21

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Solution

The fourth proportional to 1,111.22, 1,658.38 and 988.21 is: 1,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.22 : 1,658.38 = 988.21 : x
  2. Step 2: Convert to fraction form
    1,111.22/1,658.38 = 988.21/x
  3. Step 3: Cross multiply
    1,111.22x = 1,658.38 × 988.21
  4. Step 4: Simplify right side
    1,111.22x = 1,638,827.70
  5. Step 5: Solve for x
    x = 1,638,827.70/1,111.22
  6. Step 6: Final answer
    x = 1,474.80

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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.