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Finding the Fourth Proportional to 1,160.40, 1,601.35 and 629.29

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Solution

The fourth proportional to 1,160.40, 1,601.35 and 629.29 is: 868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.40 : 1,601.35 = 629.29 : x
  2. Step 2: Convert to fraction form
    1,160.40/1,601.35 = 629.29/x
  3. Step 3: Cross multiply
    1,160.40x = 1,601.35 × 629.29
  4. Step 4: Simplify right side
    1,160.40x = 1,007,705.18
  5. Step 5: Solve for x
    x = 1,007,705.18/1,160.40
  6. Step 6: Final answer
    x = 868.41

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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.