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Finding the Fourth Proportional to 1,142.22, 1,711.44 and 593.67

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Solution

The fourth proportional to 1,142.22, 1,711.44 and 593.67 is: 889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.22 : 1,711.44 = 593.67 : x
  2. Step 2: Convert to fraction form
    1,142.22/1,711.44 = 593.67/x
  3. Step 3: Cross multiply
    1,142.22x = 1,711.44 × 593.67
  4. Step 4: Simplify right side
    1,142.22x = 1,016,030.58
  5. Step 5: Solve for x
    x = 1,016,030.58/1,142.22
  6. Step 6: Final answer
    x = 889.52

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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.