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Finding the Fourth Proportional to 706.93, 975.57 and 396.43

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Solution

The fourth proportional to 706.93, 975.57 and 396.43 is: 547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.93 : 975.57 = 396.43 : x
  2. Step 2: Convert to fraction form
    706.93/975.57 = 396.43/x
  3. Step 3: Cross multiply
    706.93x = 975.57 × 396.43
  4. Step 4: Simplify right side
    706.93x = 386,745.22
  5. Step 5: Solve for x
    x = 386,745.22/706.93
  6. Step 6: Final answer
    x = 547.08

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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.