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Finding the Fourth Proportional to 1,469.63, 2,204.45 and 374.00

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Solution

The fourth proportional to 1,469.63, 2,204.45 and 374.00 is: 560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.63 : 2,204.45 = 374.00 : x
  2. Step 2: Convert to fraction form
    1,469.63/2,204.45 = 374.00/x
  3. Step 3: Cross multiply
    1,469.63x = 2,204.45 × 374.00
  4. Step 4: Simplify right side
    1,469.63x = 824,454.21
  5. Step 5: Solve for x
    x = 824,454.21/1,469.63
  6. Step 6: Final answer
    x = 560.99

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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.