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Finding the Fourth Proportional to 1,209.18, 1,668.90 and 712.24

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Solution

The fourth proportional to 1,209.18, 1,668.90 and 712.24 is: 983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.18 : 1,668.90 = 712.24 : x
  2. Step 2: Convert to fraction form
    1,209.18/1,668.90 = 712.24/x
  3. Step 3: Cross multiply
    1,209.18x = 1,668.90 × 712.24
  4. Step 4: Simplify right side
    1,209.18x = 1,188,653.77
  5. Step 5: Solve for x
    x = 1,188,653.77/1,209.18
  6. Step 6: Final answer
    x = 983.03

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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.