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Finding the Fourth Proportional to 674.36, 1,005.88 and 645.20

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Solution

The fourth proportional to 674.36, 1,005.88 and 645.20 is: 962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.36 : 1,005.88 = 645.20 : x
  2. Step 2: Convert to fraction form
    674.36/1,005.88 = 645.20/x
  3. Step 3: Cross multiply
    674.36x = 1,005.88 × 645.20
  4. Step 4: Simplify right side
    674.36x = 648,993.78
  5. Step 5: Solve for x
    x = 648,993.78/674.36
  6. Step 6: Final answer
    x = 962.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.