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Finding the Fourth Proportional to 1,424.30, 1,965.85 and 795.05

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Solution

The fourth proportional to 1,424.30, 1,965.85 and 795.05 is: 1,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.30 : 1,965.85 = 795.05 : x
  2. Step 2: Convert to fraction form
    1,424.30/1,965.85 = 795.05/x
  3. Step 3: Cross multiply
    1,424.30x = 1,965.85 × 795.05
  4. Step 4: Simplify right side
    1,424.30x = 1,562,949.04
  5. Step 5: Solve for x
    x = 1,562,949.04/1,424.30
  6. Step 6: Final answer
    x = 1,097.35

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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.