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Finding the Fourth Proportional to 1,071.68, 1,478.83 and 629.51

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Solution

The fourth proportional to 1,071.68, 1,478.83 and 629.51 is: 868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.68 : 1,478.83 = 629.51 : x
  2. Step 2: Convert to fraction form
    1,071.68/1,478.83 = 629.51/x
  3. Step 3: Cross multiply
    1,071.68x = 1,478.83 × 629.51
  4. Step 4: Simplify right side
    1,071.68x = 930,940.40
  5. Step 5: Solve for x
    x = 930,940.40/1,071.68
  6. Step 6: Final answer
    x = 868.68

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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.