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Finding the Fourth Proportional to 694.64, 955.60 and 628.40

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Solution

The fourth proportional to 694.64, 955.60 and 628.40 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.64 : 955.60 = 628.40 : x
  2. Step 2: Convert to fraction form
    694.64/955.60 = 628.40/x
  3. Step 3: Cross multiply
    694.64x = 955.60 × 628.40
  4. Step 4: Simplify right side
    694.64x = 600,499.04
  5. Step 5: Solve for x
    x = 600,499.04/694.64
  6. Step 6: Final answer
    x = 864.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.