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Finding the Fourth Proportional to 1,102.12, 1,652.70 and 640.36

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Solution

The fourth proportional to 1,102.12, 1,652.70 and 640.36 is: 960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.12 : 1,652.70 = 640.36 : x
  2. Step 2: Convert to fraction form
    1,102.12/1,652.70 = 640.36/x
  3. Step 3: Cross multiply
    1,102.12x = 1,652.70 × 640.36
  4. Step 4: Simplify right side
    1,102.12x = 1,058,322.97
  5. Step 5: Solve for x
    x = 1,058,322.97/1,102.12
  6. Step 6: Final answer
    x = 960.26

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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.