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Finding the Fourth Proportional to 1,030.26, 1,546.07 and 683.98

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Solution

The fourth proportional to 1,030.26, 1,546.07 and 683.98 is: 1,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.26 : 1,546.07 = 683.98 : x
  2. Step 2: Convert to fraction form
    1,030.26/1,546.07 = 683.98/x
  3. Step 3: Cross multiply
    1,030.26x = 1,546.07 × 683.98
  4. Step 4: Simplify right side
    1,030.26x = 1,057,480.96
  5. Step 5: Solve for x
    x = 1,057,480.96/1,030.26
  6. Step 6: Final answer
    x = 1,026.42

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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.