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Finding the Fourth Proportional to 1,583.48, 2,372.79 and 658.26

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Solution

The fourth proportional to 1,583.48, 2,372.79 and 658.26 is: 986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.48 : 2,372.79 = 658.26 : x
  2. Step 2: Convert to fraction form
    1,583.48/2,372.79 = 658.26/x
  3. Step 3: Cross multiply
    1,583.48x = 2,372.79 × 658.26
  4. Step 4: Simplify right side
    1,583.48x = 1,561,915.21
  5. Step 5: Solve for x
    x = 1,561,915.21/1,583.48
  6. Step 6: Final answer
    x = 986.38

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Why These Related Problems?

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