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Finding the Fourth Proportional to 1,443.22, 2,164.79 and 862.25

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Solution

The fourth proportional to 1,443.22, 2,164.79 and 862.25 is: 1,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.22 : 2,164.79 = 862.25 : x
  2. Step 2: Convert to fraction form
    1,443.22/2,164.79 = 862.25/x
  3. Step 3: Cross multiply
    1,443.22x = 2,164.79 × 862.25
  4. Step 4: Simplify right side
    1,443.22x = 1,866,581.51
  5. Step 5: Solve for x
    x = 1,866,581.51/1,443.22
  6. Step 6: Final answer
    x = 1,293.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.