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Finding the Fourth Proportional to 1,419.32, 1,958.63 and 789.84

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Solution

The fourth proportional to 1,419.32, 1,958.63 and 789.84 is: 1,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.32 : 1,958.63 = 789.84 : x
  2. Step 2: Convert to fraction form
    1,419.32/1,958.63 = 789.84/x
  3. Step 3: Cross multiply
    1,419.32x = 1,958.63 × 789.84
  4. Step 4: Simplify right side
    1,419.32x = 1,547,000.37
  5. Step 5: Solve for x
    x = 1,547,000.37/1,419.32
  6. Step 6: Final answer
    x = 1,089.96

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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.