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Finding the Fourth Proportional to 809.79, 1,116.90 and 514.84

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Solution

The fourth proportional to 809.79, 1,116.90 and 514.84 is: 710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.79 : 1,116.90 = 514.84 : x
  2. Step 2: Convert to fraction form
    809.79/1,116.90 = 514.84/x
  3. Step 3: Cross multiply
    809.79x = 1,116.90 × 514.84
  4. Step 4: Simplify right side
    809.79x = 575,024.80
  5. Step 5: Solve for x
    x = 575,024.80/809.79
  6. Step 6: Final answer
    x = 710.09

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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.