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Finding the Fourth Proportional to 1,188.02, 1,639.73 and 852.41

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Solution

The fourth proportional to 1,188.02, 1,639.73 and 852.41 is: 1,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.02 : 1,639.73 = 852.41 : x
  2. Step 2: Convert to fraction form
    1,188.02/1,639.73 = 852.41/x
  3. Step 3: Cross multiply
    1,188.02x = 1,639.73 × 852.41
  4. Step 4: Simplify right side
    1,188.02x = 1,397,722.25
  5. Step 5: Solve for x
    x = 1,397,722.25/1,188.02
  6. Step 6: Final answer
    x = 1,176.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.