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Finding the Fourth Proportional to 1,012.60, 1,518.90 and 363.07

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Solution

The fourth proportional to 1,012.60, 1,518.90 and 363.07 is: 544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.60 : 1,518.90 = 363.07 : x
  2. Step 2: Convert to fraction form
    1,012.60/1,518.90 = 363.07/x
  3. Step 3: Cross multiply
    1,012.60x = 1,518.90 × 363.07
  4. Step 4: Simplify right side
    1,012.60x = 551,467.02
  5. Step 5: Solve for x
    x = 551,467.02/1,012.60
  6. Step 6: Final answer
    x = 544.61

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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.