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Finding the Fourth Proportional to 1,331.33, 1,834.70 and 957.65

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Solution

The fourth proportional to 1,331.33, 1,834.70 and 957.65 is: 1,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.33 : 1,834.70 = 957.65 : x
  2. Step 2: Convert to fraction form
    1,331.33/1,834.70 = 957.65/x
  3. Step 3: Cross multiply
    1,331.33x = 1,834.70 × 957.65
  4. Step 4: Simplify right side
    1,331.33x = 1,756,986.49
  5. Step 5: Solve for x
    x = 1,756,986.49/1,331.33
  6. Step 6: Final answer
    x = 1,319.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.