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Finding the Fourth Proportional to 1,181.68, 1,772.60 and 412.08

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Solution

The fourth proportional to 1,181.68, 1,772.60 and 412.08 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.68 : 1,772.60 = 412.08 : x
  2. Step 2: Convert to fraction form
    1,181.68/1,772.60 = 412.08/x
  3. Step 3: Cross multiply
    1,181.68x = 1,772.60 × 412.08
  4. Step 4: Simplify right side
    1,181.68x = 730,453.01
  5. Step 5: Solve for x
    x = 730,453.01/1,181.68
  6. Step 6: Final answer
    x = 618.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.