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Finding the Fourth Proportional to 1,143.40, 1,709.70 and 851.80

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Solution

The fourth proportional to 1,143.40, 1,709.70 and 851.80 is: 1,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.40 : 1,709.70 = 851.80 : x
  2. Step 2: Convert to fraction form
    1,143.40/1,709.70 = 851.80/x
  3. Step 3: Cross multiply
    1,143.40x = 1,709.70 × 851.80
  4. Step 4: Simplify right side
    1,143.40x = 1,456,322.46
  5. Step 5: Solve for x
    x = 1,456,322.46/1,143.40
  6. Step 6: Final answer
    x = 1,273.68

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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.