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Finding the Fourth Proportional to 1,583.16, 2,372.99 and 658.23

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Solution

The fourth proportional to 1,583.16, 2,372.99 and 658.23 is: 986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.16 : 2,372.99 = 658.23 : x
  2. Step 2: Convert to fraction form
    1,583.16/2,372.99 = 658.23/x
  3. Step 3: Cross multiply
    1,583.16x = 2,372.99 × 658.23
  4. Step 4: Simplify right side
    1,583.16x = 1,561,969.92
  5. Step 5: Solve for x
    x = 1,561,969.92/1,583.16
  6. Step 6: Final answer
    x = 986.62

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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.