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Finding the Fourth Proportional to 1,440.96, 1,988.93 and 851.82

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Solution

The fourth proportional to 1,440.96, 1,988.93 and 851.82 is: 1,175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.96 : 1,988.93 = 851.82 : x
  2. Step 2: Convert to fraction form
    1,440.96/1,988.93 = 851.82/x
  3. Step 3: Cross multiply
    1,440.96x = 1,988.93 × 851.82
  4. Step 4: Simplify right side
    1,440.96x = 1,694,206.09
  5. Step 5: Solve for x
    x = 1,694,206.09/1,440.96
  6. Step 6: Final answer
    x = 1,175.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.