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Finding the Fourth Proportional to 1,336.08, 1,843.80 and 746.62

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Solution

The fourth proportional to 1,336.08, 1,843.80 and 746.62 is: 1,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.08 : 1,843.80 = 746.62 : x
  2. Step 2: Convert to fraction form
    1,336.08/1,843.80 = 746.62/x
  3. Step 3: Cross multiply
    1,336.08x = 1,843.80 × 746.62
  4. Step 4: Simplify right side
    1,336.08x = 1,376,610.55
  5. Step 5: Solve for x
    x = 1,376,610.55/1,336.08
  6. Step 6: Final answer
    x = 1,030.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.