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Finding the Fourth Proportional to 1,443.35, 2,162.94 and 784.69

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Solution

The fourth proportional to 1,443.35, 2,162.94 and 784.69 is: 1,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.35 : 2,162.94 = 784.69 : x
  2. Step 2: Convert to fraction form
    1,443.35/2,162.94 = 784.69/x
  3. Step 3: Cross multiply
    1,443.35x = 2,162.94 × 784.69
  4. Step 4: Simplify right side
    1,443.35x = 1,697,229.04
  5. Step 5: Solve for x
    x = 1,697,229.04/1,443.35
  6. Step 6: Final answer
    x = 1,175.89

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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.