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Finding the Fourth Proportional to 1,014.57, 1,521.45 and 582.03

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Solution

The fourth proportional to 1,014.57, 1,521.45 and 582.03 is: 872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.57 : 1,521.45 = 582.03 : x
  2. Step 2: Convert to fraction form
    1,014.57/1,521.45 = 582.03/x
  3. Step 3: Cross multiply
    1,014.57x = 1,521.45 × 582.03
  4. Step 4: Simplify right side
    1,014.57x = 885,529.54
  5. Step 5: Solve for x
    x = 885,529.54/1,014.57
  6. Step 6: Final answer
    x = 872.81

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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.