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Finding the Fourth Proportional to 1,020.06, 1,406.89 and 683.85

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Solution

The fourth proportional to 1,020.06, 1,406.89 and 683.85 is: 943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.06 : 1,406.89 = 683.85 : x
  2. Step 2: Convert to fraction form
    1,020.06/1,406.89 = 683.85/x
  3. Step 3: Cross multiply
    1,020.06x = 1,406.89 × 683.85
  4. Step 4: Simplify right side
    1,020.06x = 962,107.86
  5. Step 5: Solve for x
    x = 962,107.86/1,020.06
  6. Step 6: Final answer
    x = 943.18

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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.