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Finding the Fourth Proportional to 1,419.93, 1,958.36 and 859.82

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Solution

The fourth proportional to 1,419.93, 1,958.36 and 859.82 is: 1,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.93 : 1,958.36 = 859.82 : x
  2. Step 2: Convert to fraction form
    1,419.93/1,958.36 = 859.82/x
  3. Step 3: Cross multiply
    1,419.93x = 1,958.36 × 859.82
  4. Step 4: Simplify right side
    1,419.93x = 1,683,823.00
  5. Step 5: Solve for x
    x = 1,683,823.00/1,419.93
  6. Step 6: Final answer
    x = 1,185.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.