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Finding the Fourth Proportional to 1,704.45, 2,557.06 and 608.81

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Solution

The fourth proportional to 1,704.45, 2,557.06 and 608.81 is: 913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.45 : 2,557.06 = 608.81 : x
  2. Step 2: Convert to fraction form
    1,704.45/2,557.06 = 608.81/x
  3. Step 3: Cross multiply
    1,704.45x = 2,557.06 × 608.81
  4. Step 4: Simplify right side
    1,704.45x = 1,556,768.57
  5. Step 5: Solve for x
    x = 1,556,768.57/1,704.45
  6. Step 6: Final answer
    x = 913.36

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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.