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Finding the Fourth Proportional to 1,029.85, 1,419.53 and 843.01

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Solution

The fourth proportional to 1,029.85, 1,419.53 and 843.01 is: 1,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.85 : 1,419.53 = 843.01 : x
  2. Step 2: Convert to fraction form
    1,029.85/1,419.53 = 843.01/x
  3. Step 3: Cross multiply
    1,029.85x = 1,419.53 × 843.01
  4. Step 4: Simplify right side
    1,029.85x = 1,196,670.22
  5. Step 5: Solve for x
    x = 1,196,670.22/1,029.85
  6. Step 6: Final answer
    x = 1,161.99

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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.