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Finding the Fourth Proportional to 786.17, 1,086.02 and 629.84

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Solution

The fourth proportional to 786.17, 1,086.02 and 629.84 is: 870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.17 : 1,086.02 = 629.84 : x
  2. Step 2: Convert to fraction form
    786.17/1,086.02 = 629.84/x
  3. Step 3: Cross multiply
    786.17x = 1,086.02 × 629.84
  4. Step 4: Simplify right side
    786.17x = 684,018.84
  5. Step 5: Solve for x
    x = 684,018.84/786.17
  6. Step 6: Final answer
    x = 870.06

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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.