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Finding the Fourth Proportional to 715.58, 1,072.32 and 422.78

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Solution

The fourth proportional to 715.58, 1,072.32 and 422.78 is: 633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.58 : 1,072.32 = 422.78 : x
  2. Step 2: Convert to fraction form
    715.58/1,072.32 = 422.78/x
  3. Step 3: Cross multiply
    715.58x = 1,072.32 × 422.78
  4. Step 4: Simplify right side
    715.58x = 453,355.45
  5. Step 5: Solve for x
    x = 453,355.45/715.58
  6. Step 6: Final answer
    x = 633.55

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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.