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Finding the Fourth Proportional to 1,021.42, 1,409.20 and 785.44

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Solution

The fourth proportional to 1,021.42, 1,409.20 and 785.44 is: 1,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.42 : 1,409.20 = 785.44 : x
  2. Step 2: Convert to fraction form
    1,021.42/1,409.20 = 785.44/x
  3. Step 3: Cross multiply
    1,021.42x = 1,409.20 × 785.44
  4. Step 4: Simplify right side
    1,021.42x = 1,106,842.05
  5. Step 5: Solve for x
    x = 1,106,842.05/1,021.42
  6. Step 6: Final answer
    x = 1,083.63

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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.