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Finding the Fourth Proportional to 1,410.72, 1,946.76 and 789.84

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Solution

The fourth proportional to 1,410.72, 1,946.76 and 789.84 is: 1,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.72 : 1,946.76 = 789.84 : x
  2. Step 2: Convert to fraction form
    1,410.72/1,946.76 = 789.84/x
  3. Step 3: Cross multiply
    1,410.72x = 1,946.76 × 789.84
  4. Step 4: Simplify right side
    1,410.72x = 1,537,628.92
  5. Step 5: Solve for x
    x = 1,537,628.92/1,410.72
  6. Step 6: Final answer
    x = 1,089.96

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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.