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Finding the Fourth Proportional to 1,596.02, 2,393.97 and 556.26

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Solution

The fourth proportional to 1,596.02, 2,393.97 and 556.26 is: 834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.02 : 2,393.97 = 556.26 : x
  2. Step 2: Convert to fraction form
    1,596.02/2,393.97 = 556.26/x
  3. Step 3: Cross multiply
    1,596.02x = 2,393.97 × 556.26
  4. Step 4: Simplify right side
    1,596.02x = 1,331,669.75
  5. Step 5: Solve for x
    x = 1,331,669.75/1,596.02
  6. Step 6: Final answer
    x = 834.37

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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.