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Finding the Fourth Proportional to 1,208.04, 1,668.78 and 974.76

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Solution

The fourth proportional to 1,208.04, 1,668.78 and 974.76 is: 1,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.04 : 1,668.78 = 974.76 : x
  2. Step 2: Convert to fraction form
    1,208.04/1,668.78 = 974.76/x
  3. Step 3: Cross multiply
    1,208.04x = 1,668.78 × 974.76
  4. Step 4: Simplify right side
    1,208.04x = 1,626,659.99
  5. Step 5: Solve for x
    x = 1,626,659.99/1,208.04
  6. Step 6: Final answer
    x = 1,346.53

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1.5x scale

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.