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Finding the Fourth Proportional to 689.04, 945.18 and 674.64

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Solution

The fourth proportional to 689.04, 945.18 and 674.64 is: 925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.04 : 945.18 = 674.64 : x
  2. Step 2: Convert to fraction form
    689.04/945.18 = 674.64/x
  3. Step 3: Cross multiply
    689.04x = 945.18 × 674.64
  4. Step 4: Simplify right side
    689.04x = 637,656.24
  5. Step 5: Solve for x
    x = 637,656.24/689.04
  6. Step 6: Final answer
    x = 925.43

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