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Finding the Fourth Proportional to 1,569, 2,353.50 and 414.75

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Solution

The fourth proportional to 1,569, 2,353.50 and 414.75 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,353.50 = 414.75 : x
  2. Step 2: Convert to fraction form
    1,569/2,353.50 = 414.75/x
  3. Step 3: Cross multiply
    1,569x = 2,353.50 × 414.75
  4. Step 4: Simplify right side
    1,569x = 976,114.13
  5. Step 5: Solve for x
    x = 976,114.13/1,569
  6. Step 6: Final answer
    x = 622.13

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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.