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Finding the Fourth Proportional to 1,368.78, 2,053.42 and 628.44

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Solution

The fourth proportional to 1,368.78, 2,053.42 and 628.44 is: 942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.78 : 2,053.42 = 628.44 : x
  2. Step 2: Convert to fraction form
    1,368.78/2,053.42 = 628.44/x
  3. Step 3: Cross multiply
    1,368.78x = 2,053.42 × 628.44
  4. Step 4: Simplify right side
    1,368.78x = 1,290,451.26
  5. Step 5: Solve for x
    x = 1,290,451.26/1,368.78
  6. Step 6: Final answer
    x = 942.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.