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Finding the Fourth Proportional to 1,324.51, 1,987.28 and 593.57

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Solution

The fourth proportional to 1,324.51, 1,987.28 and 593.57 is: 890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.51 : 1,987.28 = 593.57 : x
  2. Step 2: Convert to fraction form
    1,324.51/1,987.28 = 593.57/x
  3. Step 3: Cross multiply
    1,324.51x = 1,987.28 × 593.57
  4. Step 4: Simplify right side
    1,324.51x = 1,179,596.24
  5. Step 5: Solve for x
    x = 1,179,596.24/1,324.51
  6. Step 6: Final answer
    x = 890.59

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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.