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Finding the Fourth Proportional to 1,222.34, 1,830.27 and 753.98

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Solution

The fourth proportional to 1,222.34, 1,830.27 and 753.98 is: 1,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.34 : 1,830.27 = 753.98 : x
  2. Step 2: Convert to fraction form
    1,222.34/1,830.27 = 753.98/x
  3. Step 3: Cross multiply
    1,222.34x = 1,830.27 × 753.98
  4. Step 4: Simplify right side
    1,222.34x = 1,379,986.97
  5. Step 5: Solve for x
    x = 1,379,986.97/1,222.34
  6. Step 6: Final answer
    x = 1,128.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.