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Finding the Fourth Proportional to 1,424.83, 1,965.79 and 865.12

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Solution

The fourth proportional to 1,424.83, 1,965.79 and 865.12 is: 1,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.83 : 1,965.79 = 865.12 : x
  2. Step 2: Convert to fraction form
    1,424.83/1,965.79 = 865.12/x
  3. Step 3: Cross multiply
    1,424.83x = 1,965.79 × 865.12
  4. Step 4: Simplify right side
    1,424.83x = 1,700,644.24
  5. Step 5: Solve for x
    x = 1,700,644.24/1,424.83
  6. Step 6: Final answer
    x = 1,193.58

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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.