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Finding the Fourth Proportional to 1,293.25, 1,937.41 and 738.34

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Solution

The fourth proportional to 1,293.25, 1,937.41 and 738.34 is: 1,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.25 : 1,937.41 = 738.34 : x
  2. Step 2: Convert to fraction form
    1,293.25/1,937.41 = 738.34/x
  3. Step 3: Cross multiply
    1,293.25x = 1,937.41 × 738.34
  4. Step 4: Simplify right side
    1,293.25x = 1,430,467.30
  5. Step 5: Solve for x
    x = 1,430,467.30/1,293.25
  6. Step 6: Final answer
    x = 1,106.10

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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.