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Finding the Fourth Proportional to 1,535.27, 2,301.75 and 713.05

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Solution

The fourth proportional to 1,535.27, 2,301.75 and 713.05 is: 1,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.27 : 2,301.75 = 713.05 : x
  2. Step 2: Convert to fraction form
    1,535.27/2,301.75 = 713.05/x
  3. Step 3: Cross multiply
    1,535.27x = 2,301.75 × 713.05
  4. Step 4: Simplify right side
    1,535.27x = 1,641,257.08
  5. Step 5: Solve for x
    x = 1,641,257.08/1,535.27
  6. Step 6: Final answer
    x = 1,069.04

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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.