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Finding the Fourth Proportional to 1,430.28, 1,974.06 and 905.94

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Solution

The fourth proportional to 1,430.28, 1,974.06 and 905.94 is: 1,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.28 : 1,974.06 = 905.94 : x
  2. Step 2: Convert to fraction form
    1,430.28/1,974.06 = 905.94/x
  3. Step 3: Cross multiply
    1,430.28x = 1,974.06 × 905.94
  4. Step 4: Simplify right side
    1,430.28x = 1,788,379.92
  5. Step 5: Solve for x
    x = 1,788,379.92/1,430.28
  6. Step 6: Final answer
    x = 1,250.37

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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.