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Finding the Fourth Proportional to 1,526.67, 2,288.63 and 704.27

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Solution

The fourth proportional to 1,526.67, 2,288.63 and 704.27 is: 1,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.67 : 2,288.63 = 704.27 : x
  2. Step 2: Convert to fraction form
    1,526.67/2,288.63 = 704.27/x
  3. Step 3: Cross multiply
    1,526.67x = 2,288.63 × 704.27
  4. Step 4: Simplify right side
    1,526.67x = 1,611,820.93
  5. Step 5: Solve for x
    x = 1,611,820.93/1,526.67
  6. Step 6: Final answer
    x = 1,055.78

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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.