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Finding the Fourth Proportional to 1,430.63, 1,974.27 and 809.63

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Solution

The fourth proportional to 1,430.63, 1,974.27 and 809.63 is: 1,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.63 : 1,974.27 = 809.63 : x
  2. Step 2: Convert to fraction form
    1,430.63/1,974.27 = 809.63/x
  3. Step 3: Cross multiply
    1,430.63x = 1,974.27 × 809.63
  4. Step 4: Simplify right side
    1,430.63x = 1,598,418.35
  5. Step 5: Solve for x
    x = 1,598,418.35/1,430.63
  6. Step 6: Final answer
    x = 1,117.29

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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.