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Finding the Fourth Proportional to 1,142.33, 1,710.32 and 863.82

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Solution

The fourth proportional to 1,142.33, 1,710.32 and 863.82 is: 1,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.33 : 1,710.32 = 863.82 : x
  2. Step 2: Convert to fraction form
    1,142.33/1,710.32 = 863.82/x
  3. Step 3: Cross multiply
    1,142.33x = 1,710.32 × 863.82
  4. Step 4: Simplify right side
    1,142.33x = 1,477,404.30
  5. Step 5: Solve for x
    x = 1,477,404.30/1,142.33
  6. Step 6: Final answer
    x = 1,293.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.