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Finding the Fourth Proportional to 1,704.19, 2,556.28 and 471.69

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Solution

The fourth proportional to 1,704.19, 2,556.28 and 471.69 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.19 : 2,556.28 = 471.69 : x
  2. Step 2: Convert to fraction form
    1,704.19/2,556.28 = 471.69/x
  3. Step 3: Cross multiply
    1,704.19x = 2,556.28 × 471.69
  4. Step 4: Simplify right side
    1,704.19x = 1,205,779.28
  5. Step 5: Solve for x
    x = 1,205,779.28/1,704.19
  6. Step 6: Final answer
    x = 707.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.