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Finding the Fourth Proportional to 1,192.89, 1,788.93 and 412.59

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Solution

The fourth proportional to 1,192.89, 1,788.93 and 412.59 is: 618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.89 : 1,788.93 = 412.59 : x
  2. Step 2: Convert to fraction form
    1,192.89/1,788.93 = 412.59/x
  3. Step 3: Cross multiply
    1,192.89x = 1,788.93 × 412.59
  4. Step 4: Simplify right side
    1,192.89x = 738,094.63
  5. Step 5: Solve for x
    x = 738,094.63/1,192.89
  6. Step 6: Final answer
    x = 618.74

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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.