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Finding the Fourth Proportional to 706.98, 975.64 and 427.32

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Solution

The fourth proportional to 706.98, 975.64 and 427.32 is: 589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.98 : 975.64 = 427.32 : x
  2. Step 2: Convert to fraction form
    706.98/975.64 = 427.32/x
  3. Step 3: Cross multiply
    706.98x = 975.64 × 427.32
  4. Step 4: Simplify right side
    706.98x = 416,910.48
  5. Step 5: Solve for x
    x = 416,910.48/706.98
  6. Step 6: Final answer
    x = 589.71

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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.