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Finding the Fourth Proportional to 1,596.81, 2,395.23 and 556.81

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Solution

The fourth proportional to 1,596.81, 2,395.23 and 556.81 is: 835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.81 : 2,395.23 = 556.81 : x
  2. Step 2: Convert to fraction form
    1,596.81/2,395.23 = 556.81/x
  3. Step 3: Cross multiply
    1,596.81x = 2,395.23 × 556.81
  4. Step 4: Simplify right side
    1,596.81x = 1,333,690.31
  5. Step 5: Solve for x
    x = 1,333,690.31/1,596.81
  6. Step 6: Final answer
    x = 835.22

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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.