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Finding the Fourth Proportional to 1,430.66, 1,974.30 and 809.66

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Solution

The fourth proportional to 1,430.66, 1,974.30 and 809.66 is: 1,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.66 : 1,974.30 = 809.66 : x
  2. Step 2: Convert to fraction form
    1,430.66/1,974.30 = 809.66/x
  3. Step 3: Cross multiply
    1,430.66x = 1,974.30 × 809.66
  4. Step 4: Simplify right side
    1,430.66x = 1,598,511.74
  5. Step 5: Solve for x
    x = 1,598,511.74/1,430.66
  6. Step 6: Final answer
    x = 1,117.32

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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.