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Finding the Fourth Proportional to 1,020.12, 1,408.43 and 783.62

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Solution

The fourth proportional to 1,020.12, 1,408.43 and 783.62 is: 1,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.12 : 1,408.43 = 783.62 : x
  2. Step 2: Convert to fraction form
    1,020.12/1,408.43 = 783.62/x
  3. Step 3: Cross multiply
    1,020.12x = 1,408.43 × 783.62
  4. Step 4: Simplify right side
    1,020.12x = 1,103,664.92
  5. Step 5: Solve for x
    x = 1,103,664.92/1,020.12
  6. Step 6: Final answer
    x = 1,081.90

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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.