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Finding the Fourth Proportional to 1,487.35, 2,231.38 and 513.46

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Solution

The fourth proportional to 1,487.35, 2,231.38 and 513.46 is: 770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.35 : 2,231.38 = 513.46 : x
  2. Step 2: Convert to fraction form
    1,487.35/2,231.38 = 513.46/x
  3. Step 3: Cross multiply
    1,487.35x = 2,231.38 × 513.46
  4. Step 4: Simplify right side
    1,487.35x = 1,145,727.81
  5. Step 5: Solve for x
    x = 1,145,727.81/1,487.35
  6. Step 6: Final answer
    x = 770.31

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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.