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Finding the Fourth Proportional to 1,137.21, 1,704.56 and 649.19

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Solution

The fourth proportional to 1,137.21, 1,704.56 and 649.19 is: 973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.21 : 1,704.56 = 649.19 : x
  2. Step 2: Convert to fraction form
    1,137.21/1,704.56 = 649.19/x
  3. Step 3: Cross multiply
    1,137.21x = 1,704.56 × 649.19
  4. Step 4: Simplify right side
    1,137.21x = 1,106,571.54
  5. Step 5: Solve for x
    x = 1,106,571.54/1,137.21
  6. Step 6: Final answer
    x = 973.06

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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.