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Finding the Fourth Proportional to 1,181.69, 1,772.48 and 316.00

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Solution

The fourth proportional to 1,181.69, 1,772.48 and 316.00 is: 473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.69 : 1,772.48 = 316.00 : x
  2. Step 2: Convert to fraction form
    1,181.69/1,772.48 = 316.00/x
  3. Step 3: Cross multiply
    1,181.69x = 1,772.48 × 316.00
  4. Step 4: Simplify right side
    1,181.69x = 560,106.69
  5. Step 5: Solve for x
    x = 560,106.69/1,181.69
  6. Step 6: Final answer
    x = 473.99

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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.