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Finding the Fourth Proportional to 706.22, 973.22 and 697.11

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Solution

The fourth proportional to 706.22, 973.22 and 697.11 is: 960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 973.22 = 697.11 : x
  2. Step 2: Convert to fraction form
    706.22/973.22 = 697.11/x
  3. Step 3: Cross multiply
    706.22x = 973.22 × 697.11
  4. Step 4: Simplify right side
    706.22x = 678,434.26
  5. Step 5: Solve for x
    x = 678,434.26/706.22
  6. Step 6: Final answer
    x = 960.66

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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.