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Finding the Fourth Proportional to 1,704.15, 2,555.33 and 608.36

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Solution

The fourth proportional to 1,704.15, 2,555.33 and 608.36 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.15 : 2,555.33 = 608.36 : x
  2. Step 2: Convert to fraction form
    1,704.15/2,555.33 = 608.36/x
  3. Step 3: Cross multiply
    1,704.15x = 2,555.33 × 608.36
  4. Step 4: Simplify right side
    1,704.15x = 1,554,544.74
  5. Step 5: Solve for x
    x = 1,554,544.74/1,704.15
  6. Step 6: Final answer
    x = 912.21

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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.