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Finding the Fourth Proportional to 1,137.56, 1,705.80 and 650.48

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Solution

The fourth proportional to 1,137.56, 1,705.80 and 650.48 is: 975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.56 : 1,705.80 = 650.48 : x
  2. Step 2: Convert to fraction form
    1,137.56/1,705.80 = 650.48/x
  3. Step 3: Cross multiply
    1,137.56x = 1,705.80 × 650.48
  4. Step 4: Simplify right side
    1,137.56x = 1,109,588.78
  5. Step 5: Solve for x
    x = 1,109,588.78/1,137.56
  6. Step 6: Final answer
    x = 975.41

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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.