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Finding the Fourth Proportional to 1,189.46, 1,782.37 and 701.98

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Solution

The fourth proportional to 1,189.46, 1,782.37 and 701.98 is: 1,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.46 : 1,782.37 = 701.98 : x
  2. Step 2: Convert to fraction form
    1,189.46/1,782.37 = 701.98/x
  3. Step 3: Cross multiply
    1,189.46x = 1,782.37 × 701.98
  4. Step 4: Simplify right side
    1,189.46x = 1,251,188.09
  5. Step 5: Solve for x
    x = 1,251,188.09/1,189.46
  6. Step 6: Final answer
    x = 1,051.90

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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.