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Finding the Fourth Proportional to 1,209.02, 1,668.80 and 711.68

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Solution

The fourth proportional to 1,209.02, 1,668.80 and 711.68 is: 982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.02 : 1,668.80 = 711.68 : x
  2. Step 2: Convert to fraction form
    1,209.02/1,668.80 = 711.68/x
  3. Step 3: Cross multiply
    1,209.02x = 1,668.80 × 711.68
  4. Step 4: Simplify right side
    1,209.02x = 1,187,651.58
  5. Step 5: Solve for x
    x = 1,187,651.58/1,209.02
  6. Step 6: Final answer
    x = 982.33

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Why These Related Problems?

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