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Finding the Fourth Proportional to 1,190.69, 1,783.90 and 838.95

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Solution

The fourth proportional to 1,190.69, 1,783.90 and 838.95 is: 1,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.69 : 1,783.90 = 838.95 : x
  2. Step 2: Convert to fraction form
    1,190.69/1,783.90 = 838.95/x
  3. Step 3: Cross multiply
    1,190.69x = 1,783.90 × 838.95
  4. Step 4: Simplify right side
    1,190.69x = 1,496,602.91
  5. Step 5: Solve for x
    x = 1,496,602.91/1,190.69
  6. Step 6: Final answer
    x = 1,256.92

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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.