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Finding the Fourth Proportional to 809.52, 1,211.56 and 678.32

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Solution

The fourth proportional to 809.52, 1,211.56 and 678.32 is: 1,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,211.56 = 678.32 : x
  2. Step 2: Convert to fraction form
    809.52/1,211.56 = 678.32/x
  3. Step 3: Cross multiply
    809.52x = 1,211.56 × 678.32
  4. Step 4: Simplify right side
    809.52x = 821,825.38
  5. Step 5: Solve for x
    x = 821,825.38/809.52
  6. Step 6: Final answer
    x = 1,015.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.