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Finding the Fourth Proportional to 1,623.52, 2,435.69 and 469.27

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Solution

The fourth proportional to 1,623.52, 2,435.69 and 469.27 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.52 : 2,435.69 = 469.27 : x
  2. Step 2: Convert to fraction form
    1,623.52/2,435.69 = 469.27/x
  3. Step 3: Cross multiply
    1,623.52x = 2,435.69 × 469.27
  4. Step 4: Simplify right side
    1,623.52x = 1,142,996.25
  5. Step 5: Solve for x
    x = 1,142,996.25/1,623.52
  6. Step 6: Final answer
    x = 704.02

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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.