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Finding the Fourth Proportional to 1,333.97, 1,999.20 and 593.33

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Solution

The fourth proportional to 1,333.97, 1,999.20 and 593.33 is: 889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.97 : 1,999.20 = 593.33 : x
  2. Step 2: Convert to fraction form
    1,333.97/1,999.20 = 593.33/x
  3. Step 3: Cross multiply
    1,333.97x = 1,999.20 × 593.33
  4. Step 4: Simplify right side
    1,333.97x = 1,186,175.34
  5. Step 5: Solve for x
    x = 1,186,175.34/1,333.97
  6. Step 6: Final answer
    x = 889.21

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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.