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Finding the Fourth Proportional to 1,431.48, 1,974.34 and 959.23

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Solution

The fourth proportional to 1,431.48, 1,974.34 and 959.23 is: 1,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.48 : 1,974.34 = 959.23 : x
  2. Step 2: Convert to fraction form
    1,431.48/1,974.34 = 959.23/x
  3. Step 3: Cross multiply
    1,431.48x = 1,974.34 × 959.23
  4. Step 4: Simplify right side
    1,431.48x = 1,893,841.22
  5. Step 5: Solve for x
    x = 1,893,841.22/1,431.48
  6. Step 6: Final answer
    x = 1,322.99

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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.