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Finding the Fourth Proportional to 1,181.00, 1,769.94 and 522.65

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Solution

The fourth proportional to 1,181.00, 1,769.94 and 522.65 is: 783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.00 : 1,769.94 = 522.65 : x
  2. Step 2: Convert to fraction form
    1,181.00/1,769.94 = 522.65/x
  3. Step 3: Cross multiply
    1,181.00x = 1,769.94 × 522.65
  4. Step 4: Simplify right side
    1,181.00x = 925,050.29
  5. Step 5: Solve for x
    x = 925,050.29/1,181.00
  6. Step 6: Final answer
    x = 783.28

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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.