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Finding the Fourth Proportional to 709.53, 973.88 and 629.07

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Solution

The fourth proportional to 709.53, 973.88 and 629.07 is: 863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 973.88 = 629.07 : x
  2. Step 2: Convert to fraction form
    709.53/973.88 = 629.07/x
  3. Step 3: Cross multiply
    709.53x = 973.88 × 629.07
  4. Step 4: Simplify right side
    709.53x = 612,635.55
  5. Step 5: Solve for x
    x = 612,635.55/709.53
  6. Step 6: Final answer
    x = 863.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.