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Finding the Fourth Proportional to 629.60, 883.60 and 629.60

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Solution

The fourth proportional to 629.60, 883.60 and 629.60 is: 883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.60 : 883.60 = 629.60 : x
  2. Step 2: Convert to fraction form
    629.60/883.60 = 629.60/x
  3. Step 3: Cross multiply
    629.60x = 883.60 × 629.60
  4. Step 4: Simplify right side
    629.60x = 556,314.56
  5. Step 5: Solve for x
    x = 556,314.56/629.60
  6. Step 6: Final answer
    x = 883.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.