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Finding the Fourth Proportional to 1,323.14, 1,985.03 and 593.22

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Solution

The fourth proportional to 1,323.14, 1,985.03 and 593.22 is: 889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.14 : 1,985.03 = 593.22 : x
  2. Step 2: Convert to fraction form
    1,323.14/1,985.03 = 593.22/x
  3. Step 3: Cross multiply
    1,323.14x = 1,985.03 × 593.22
  4. Step 4: Simplify right side
    1,323.14x = 1,177,556.53
  5. Step 5: Solve for x
    x = 1,177,556.53/1,323.14
  6. Step 6: Final answer
    x = 889.97

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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.