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Finding the Fourth Proportional to 1,102.94, 1,652.62 and 755.08

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Solution

The fourth proportional to 1,102.94, 1,652.62 and 755.08 is: 1,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.94 : 1,652.62 = 755.08 : x
  2. Step 2: Convert to fraction form
    1,102.94/1,652.62 = 755.08/x
  3. Step 3: Cross multiply
    1,102.94x = 1,652.62 × 755.08
  4. Step 4: Simplify right side
    1,102.94x = 1,247,860.31
  5. Step 5: Solve for x
    x = 1,247,860.31/1,102.94
  6. Step 6: Final answer
    x = 1,131.39

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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.