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Finding the Fourth Proportional to 1,040.72, 1,562.62 and 652.38

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Solution

The fourth proportional to 1,040.72, 1,562.62 and 652.38 is: 979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.72 : 1,562.62 = 652.38 : x
  2. Step 2: Convert to fraction form
    1,040.72/1,562.62 = 652.38/x
  3. Step 3: Cross multiply
    1,040.72x = 1,562.62 × 652.38
  4. Step 4: Simplify right side
    1,040.72x = 1,019,422.04
  5. Step 5: Solve for x
    x = 1,019,422.04/1,040.72
  6. Step 6: Final answer
    x = 979.54

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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.