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Finding the Fourth Proportional to 1,426.09, 1,968.01 and 805.09

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Solution

The fourth proportional to 1,426.09, 1,968.01 and 805.09 is: 1,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.09 : 1,968.01 = 805.09 : x
  2. Step 2: Convert to fraction form
    1,426.09/1,968.01 = 805.09/x
  3. Step 3: Cross multiply
    1,426.09x = 1,968.01 × 805.09
  4. Step 4: Simplify right side
    1,426.09x = 1,584,425.17
  5. Step 5: Solve for x
    x = 1,584,425.17/1,426.09
  6. Step 6: Final answer
    x = 1,111.03

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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.