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Finding the Fourth Proportional to 820.64, 1,231.52 and 615.36

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Solution

The fourth proportional to 820.64, 1,231.52 and 615.36 is: 923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.64 : 1,231.52 = 615.36 : x
  2. Step 2: Convert to fraction form
    820.64/1,231.52 = 615.36/x
  3. Step 3: Cross multiply
    820.64x = 1,231.52 × 615.36
  4. Step 4: Simplify right side
    820.64x = 757,828.15
  5. Step 5: Solve for x
    x = 757,828.15/820.64
  6. Step 6: Final answer
    x = 923.46

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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.