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Finding the Fourth Proportional to 1,623.53, 2,435.70 and 469.28

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Solution

The fourth proportional to 1,623.53, 2,435.70 and 469.28 is: 704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.53 : 2,435.70 = 469.28 : x
  2. Step 2: Convert to fraction form
    1,623.53/2,435.70 = 469.28/x
  3. Step 3: Cross multiply
    1,623.53x = 2,435.70 × 469.28
  4. Step 4: Simplify right side
    1,623.53x = 1,143,025.30
  5. Step 5: Solve for x
    x = 1,143,025.30/1,623.53
  6. Step 6: Final answer
    x = 704.04

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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.