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Finding the Fourth Proportional to 1,330.61, 1,996.06 and 509.57

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Solution

The fourth proportional to 1,330.61, 1,996.06 and 509.57 is: 764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.61 : 1,996.06 = 509.57 : x
  2. Step 2: Convert to fraction form
    1,330.61/1,996.06 = 509.57/x
  3. Step 3: Cross multiply
    1,330.61x = 1,996.06 × 509.57
  4. Step 4: Simplify right side
    1,330.61x = 1,017,136.01
  5. Step 5: Solve for x
    x = 1,017,136.01/1,330.61
  6. Step 6: Final answer
    x = 764.41

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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.