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Finding the Fourth Proportional to 1,469.75, 2,204.64 and 374.13

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Solution

The fourth proportional to 1,469.75, 2,204.64 and 374.13 is: 561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.75 : 2,204.64 = 374.13 : x
  2. Step 2: Convert to fraction form
    1,469.75/2,204.64 = 374.13/x
  3. Step 3: Cross multiply
    1,469.75x = 2,204.64 × 374.13
  4. Step 4: Simplify right side
    1,469.75x = 824,821.96
  5. Step 5: Solve for x
    x = 824,821.96/1,469.75
  6. Step 6: Final answer
    x = 561.20

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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.