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Finding the Fourth Proportional to 1,424.44, 1,964.46 and 959.32

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Solution

The fourth proportional to 1,424.44, 1,964.46 and 959.32 is: 1,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.44 : 1,964.46 = 959.32 : x
  2. Step 2: Convert to fraction form
    1,424.44/1,964.46 = 959.32/x
  3. Step 3: Cross multiply
    1,424.44x = 1,964.46 × 959.32
  4. Step 4: Simplify right side
    1,424.44x = 1,884,545.77
  5. Step 5: Solve for x
    x = 1,884,545.77/1,424.44
  6. Step 6: Final answer
    x = 1,323.01

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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.