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Finding the Fourth Proportional to 1,330.80, 1,996.33 and 509.76

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Solution

The fourth proportional to 1,330.80, 1,996.33 and 509.76 is: 764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.80 : 1,996.33 = 509.76 : x
  2. Step 2: Convert to fraction form
    1,330.80/1,996.33 = 509.76/x
  3. Step 3: Cross multiply
    1,330.80x = 1,996.33 × 509.76
  4. Step 4: Simplify right side
    1,330.80x = 1,017,647.91
  5. Step 5: Solve for x
    x = 1,017,647.91/1,330.80
  6. Step 6: Final answer
    x = 764.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.