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Finding the Fourth Proportional to 1,240.86, 1,861.60 and 693.41

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Solution

The fourth proportional to 1,240.86, 1,861.60 and 693.41 is: 1,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.86 : 1,861.60 = 693.41 : x
  2. Step 2: Convert to fraction form
    1,240.86/1,861.60 = 693.41/x
  3. Step 3: Cross multiply
    1,240.86x = 1,861.60 × 693.41
  4. Step 4: Simplify right side
    1,240.86x = 1,290,841.01
  5. Step 5: Solve for x
    x = 1,290,841.01/1,240.86
  6. Step 6: Final answer
    x = 1,040.28

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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.