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Finding the Fourth Proportional to 1,469.04, 2,203.59 and 429.15

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Solution

The fourth proportional to 1,469.04, 2,203.59 and 429.15 is: 643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.04 : 2,203.59 = 429.15 : x
  2. Step 2: Convert to fraction form
    1,469.04/2,203.59 = 429.15/x
  3. Step 3: Cross multiply
    1,469.04x = 2,203.59 × 429.15
  4. Step 4: Simplify right side
    1,469.04x = 945,670.65
  5. Step 5: Solve for x
    x = 945,670.65/1,469.04
  6. Step 6: Final answer
    x = 643.73

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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.