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Finding the Fourth Proportional to 669.25, 1,001.75 and 436.27

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Solution

The fourth proportional to 669.25, 1,001.75 and 436.27 is: 653.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 1,001.75 = 436.27 : x
  2. Step 2: Convert to fraction form
    669.25/1,001.75 = 436.27/x
  3. Step 3: Cross multiply
    669.25x = 1,001.75 × 436.27
  4. Step 4: Simplify right side
    669.25x = 437,033.47
  5. Step 5: Solve for x
    x = 437,033.47/669.25
  6. Step 6: Final answer
    x = 653.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.