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Finding the Fourth Proportional to 674.40, 944.80 and 674.40

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Solution

The fourth proportional to 674.40, 944.80 and 674.40 is: 944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 944.80 = 674.40 : x
  2. Step 2: Convert to fraction form
    674.40/944.80 = 674.40/x
  3. Step 3: Cross multiply
    674.40x = 944.80 × 674.40
  4. Step 4: Simplify right side
    674.40x = 637,173.12
  5. Step 5: Solve for x
    x = 637,173.12/674.40
  6. Step 6: Final answer
    x = 944.80

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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.