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Finding the Fourth Proportional to 1,208.81, 1,668.16 and 684.88

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Solution

The fourth proportional to 1,208.81, 1,668.16 and 684.88 is: 945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.81 : 1,668.16 = 684.88 : x
  2. Step 2: Convert to fraction form
    1,208.81/1,668.16 = 684.88/x
  3. Step 3: Cross multiply
    1,208.81x = 1,668.16 × 684.88
  4. Step 4: Simplify right side
    1,208.81x = 1,142,486.11
  5. Step 5: Solve for x
    x = 1,142,486.11/1,208.81
  6. Step 6: Final answer
    x = 945.13

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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.