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Finding the Fourth Proportional to 1,469.86, 2,204.57 and 429.58

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Solution

The fourth proportional to 1,469.86, 2,204.57 and 429.58 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.86 : 2,204.57 = 429.58 : x
  2. Step 2: Convert to fraction form
    1,469.86/2,204.57 = 429.58/x
  3. Step 3: Cross multiply
    1,469.86x = 2,204.57 × 429.58
  4. Step 4: Simplify right side
    1,469.86x = 947,039.18
  5. Step 5: Solve for x
    x = 947,039.18/1,469.86
  6. Step 6: Final answer
    x = 644.31

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Why These Related Problems?

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