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Finding the Fourth Proportional to 1,525.56, 2,288.35 and 371.31

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Solution

The fourth proportional to 1,525.56, 2,288.35 and 371.31 is: 556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.56 : 2,288.35 = 371.31 : x
  2. Step 2: Convert to fraction form
    1,525.56/2,288.35 = 371.31/x
  3. Step 3: Cross multiply
    1,525.56x = 2,288.35 × 371.31
  4. Step 4: Simplify right side
    1,525.56x = 849,687.24
  5. Step 5: Solve for x
    x = 849,687.24/1,525.56
  6. Step 6: Final answer
    x = 556.97

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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.