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Finding the Fourth Proportional to 1,133.96, 1,564.84 and 629.78

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Solution

The fourth proportional to 1,133.96, 1,564.84 and 629.78 is: 869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.96 : 1,564.84 = 629.78 : x
  2. Step 2: Convert to fraction form
    1,133.96/1,564.84 = 629.78/x
  3. Step 3: Cross multiply
    1,133.96x = 1,564.84 × 629.78
  4. Step 4: Simplify right side
    1,133.96x = 985,504.94
  5. Step 5: Solve for x
    x = 985,504.94/1,133.96
  6. Step 6: Final answer
    x = 869.08

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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.