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Finding the Fourth Proportional to 1,430.28, 1,974.59 and 982.80

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Solution

The fourth proportional to 1,430.28, 1,974.59 and 982.80 is: 1,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.28 : 1,974.59 = 982.80 : x
  2. Step 2: Convert to fraction form
    1,430.28/1,974.59 = 982.80/x
  3. Step 3: Cross multiply
    1,430.28x = 1,974.59 × 982.80
  4. Step 4: Simplify right side
    1,430.28x = 1,940,622.14
  5. Step 5: Solve for x
    x = 1,940,622.14/1,430.28
  6. Step 6: Final answer
    x = 1,356.81

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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.