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Finding the Fourth Proportional to 1,320.69, 1,980.33 and 1,011.78

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Solution

The fourth proportional to 1,320.69, 1,980.33 and 1,011.78 is: 1,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.69 : 1,980.33 = 1,011.78 : x
  2. Step 2: Convert to fraction form
    1,320.69/1,980.33 = 1,011.78/x
  3. Step 3: Cross multiply
    1,320.69x = 1,980.33 × 1,011.78
  4. Step 4: Simplify right side
    1,320.69x = 2,003,658.29
  5. Step 5: Solve for x
    x = 2,003,658.29/1,320.69
  6. Step 6: Final answer
    x = 1,517.13

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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.