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Finding the Fourth Proportional to 1,504, 2,256 and 478

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Solution

The fourth proportional to 1,504, 2,256 and 478 is: 717

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504 : 2,256 = 478 : x
  2. Step 2: Convert to fraction form
    1,504/2,256 = 478/x
  3. Step 3: Cross multiply
    1,504x = 2,256 × 478
  4. Step 4: Simplify right side
    1,504x = 1,078,368
  5. Step 5: Solve for x
    x = 1,078,368/1,504
  6. Step 6: Final answer
    x = 717

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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.