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Finding the Fourth Proportional to 1,209.58, 1,668.93 and 712.24

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Solution

The fourth proportional to 1,209.58, 1,668.93 and 712.24 is: 982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.58 : 1,668.93 = 712.24 : x
  2. Step 2: Convert to fraction form
    1,209.58/1,668.93 = 712.24/x
  3. Step 3: Cross multiply
    1,209.58x = 1,668.93 × 712.24
  4. Step 4: Simplify right side
    1,209.58x = 1,188,678.70
  5. Step 5: Solve for x
    x = 1,188,678.70/1,209.58
  6. Step 6: Final answer
    x = 982.72

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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.