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Finding the Fourth Proportional to 706.88, 975.72 and 412.09

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Solution

The fourth proportional to 706.88, 975.72 and 412.09 is: 568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.88 : 975.72 = 412.09 : x
  2. Step 2: Convert to fraction form
    706.88/975.72 = 412.09/x
  3. Step 3: Cross multiply
    706.88x = 975.72 × 412.09
  4. Step 4: Simplify right side
    706.88x = 402,077.52
  5. Step 5: Solve for x
    x = 402,077.52/706.88
  6. Step 6: Final answer
    x = 568.81

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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.