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Finding the Fourth Proportional to 1,011.99, 1,387.83 and 969.89

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Solution

The fourth proportional to 1,011.99, 1,387.83 and 969.89 is: 1,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.99 : 1,387.83 = 969.89 : x
  2. Step 2: Convert to fraction form
    1,011.99/1,387.83 = 969.89/x
  3. Step 3: Cross multiply
    1,011.99x = 1,387.83 × 969.89
  4. Step 4: Simplify right side
    1,011.99x = 1,346,046.94
  5. Step 5: Solve for x
    x = 1,346,046.94/1,011.99
  6. Step 6: Final answer
    x = 1,330.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.