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Finding the Fourth Proportional to 809.44, 1,117.04 and 514.64

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Solution

The fourth proportional to 809.44, 1,117.04 and 514.64 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.44 : 1,117.04 = 514.64 : x
  2. Step 2: Convert to fraction form
    809.44/1,117.04 = 514.64/x
  3. Step 3: Cross multiply
    809.44x = 1,117.04 × 514.64
  4. Step 4: Simplify right side
    809.44x = 574,873.68
  5. Step 5: Solve for x
    x = 574,873.68/809.44
  6. Step 6: Final answer
    x = 710.21

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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.