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Finding the Fourth Proportional to 1,352.32, 2,028.48 and 582.82

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Solution

The fourth proportional to 1,352.32, 2,028.48 and 582.82 is: 874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.32 : 2,028.48 = 582.82 : x
  2. Step 2: Convert to fraction form
    1,352.32/2,028.48 = 582.82/x
  3. Step 3: Cross multiply
    1,352.32x = 2,028.48 × 582.82
  4. Step 4: Simplify right side
    1,352.32x = 1,182,238.71
  5. Step 5: Solve for x
    x = 1,182,238.71/1,352.32
  6. Step 6: Final answer
    x = 874.23

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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.