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Finding the Fourth Proportional to 1,188.02, 1,639.38 and 656.82

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Solution

The fourth proportional to 1,188.02, 1,639.38 and 656.82 is: 906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.02 : 1,639.38 = 656.82 : x
  2. Step 2: Convert to fraction form
    1,188.02/1,639.38 = 656.82/x
  3. Step 3: Cross multiply
    1,188.02x = 1,639.38 × 656.82
  4. Step 4: Simplify right side
    1,188.02x = 1,076,777.57
  5. Step 5: Solve for x
    x = 1,076,777.57/1,188.02
  6. Step 6: Final answer
    x = 906.36

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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.