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Finding the Fourth Proportional to 1,182.44, 1,770.80 and 596.67

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Solution

The fourth proportional to 1,182.44, 1,770.80 and 596.67 is: 893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.44 : 1,770.80 = 596.67 : x
  2. Step 2: Convert to fraction form
    1,182.44/1,770.80 = 596.67/x
  3. Step 3: Cross multiply
    1,182.44x = 1,770.80 × 596.67
  4. Step 4: Simplify right side
    1,182.44x = 1,056,580.25
  5. Step 5: Solve for x
    x = 1,056,580.25/1,182.44
  6. Step 6: Final answer
    x = 893.56

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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.