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Finding the Fourth Proportional to 1,229.70, 1,846.40 and 1,058.23

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Solution

The fourth proportional to 1,229.70, 1,846.40 and 1,058.23 is: 1,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.70 : 1,846.40 = 1,058.23 : x
  2. Step 2: Convert to fraction form
    1,229.70/1,846.40 = 1,058.23/x
  3. Step 3: Cross multiply
    1,229.70x = 1,846.40 × 1,058.23
  4. Step 4: Simplify right side
    1,229.70x = 1,953,915.87
  5. Step 5: Solve for x
    x = 1,953,915.87/1,229.70
  6. Step 6: Final answer
    x = 1,588.94

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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.