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Finding the Fourth Proportional to 809.30, 1,116.50 and 514.46

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Solution

The fourth proportional to 809.30, 1,116.50 and 514.46 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.30 : 1,116.50 = 514.46 : x
  2. Step 2: Convert to fraction form
    809.30/1,116.50 = 514.46/x
  3. Step 3: Cross multiply
    809.30x = 1,116.50 × 514.46
  4. Step 4: Simplify right side
    809.30x = 574,386.44
  5. Step 5: Solve for x
    x = 574,386.44/809.30
  6. Step 6: Final answer
    x = 709.74

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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.