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Finding the Fourth Proportional to 1,402.42, 1,933.82 and 959.62

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Solution

The fourth proportional to 1,402.42, 1,933.82 and 959.62 is: 1,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.42 : 1,933.82 = 959.62 : x
  2. Step 2: Convert to fraction form
    1,402.42/1,933.82 = 959.62/x
  3. Step 3: Cross multiply
    1,402.42x = 1,933.82 × 959.62
  4. Step 4: Simplify right side
    1,402.42x = 1,855,732.35
  5. Step 5: Solve for x
    x = 1,855,732.35/1,402.42
  6. Step 6: Final answer
    x = 1,323.24

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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.