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Finding the Fourth Proportional to 1,426.30, 1,968.24 and 805.30

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Solution

The fourth proportional to 1,426.30, 1,968.24 and 805.30 is: 1,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.30 : 1,968.24 = 805.30 : x
  2. Step 2: Convert to fraction form
    1,426.30/1,968.24 = 805.30/x
  3. Step 3: Cross multiply
    1,426.30x = 1,968.24 × 805.30
  4. Step 4: Simplify right side
    1,426.30x = 1,585,023.67
  5. Step 5: Solve for x
    x = 1,585,023.67/1,426.30
  6. Step 6: Final answer
    x = 1,111.28

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