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Finding the Fourth Proportional to 1,704.51, 2,556.77 and 593.93

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Solution

The fourth proportional to 1,704.51, 2,556.77 and 593.93 is: 890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.51 : 2,556.77 = 593.93 : x
  2. Step 2: Convert to fraction form
    1,704.51/2,556.77 = 593.93/x
  3. Step 3: Cross multiply
    1,704.51x = 2,556.77 × 593.93
  4. Step 4: Simplify right side
    1,704.51x = 1,518,545.83
  5. Step 5: Solve for x
    x = 1,518,545.83/1,704.51
  6. Step 6: Final answer
    x = 890.90

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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.