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Finding the Fourth Proportional to 809.31, 1,116.90 and 514.65

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Solution

The fourth proportional to 809.31, 1,116.90 and 514.65 is: 710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.31 : 1,116.90 = 514.65 : x
  2. Step 2: Convert to fraction form
    809.31/1,116.90 = 514.65/x
  3. Step 3: Cross multiply
    809.31x = 1,116.90 × 514.65
  4. Step 4: Simplify right side
    809.31x = 574,812.59
  5. Step 5: Solve for x
    x = 574,812.59/809.31
  6. Step 6: Final answer
    x = 710.25

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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.