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Finding the Fourth Proportional to 1,202.99, 1,659.49 and 760.12

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Solution

The fourth proportional to 1,202.99, 1,659.49 and 760.12 is: 1,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.99 : 1,659.49 = 760.12 : x
  2. Step 2: Convert to fraction form
    1,202.99/1,659.49 = 760.12/x
  3. Step 3: Cross multiply
    1,202.99x = 1,659.49 × 760.12
  4. Step 4: Simplify right side
    1,202.99x = 1,261,405.49
  5. Step 5: Solve for x
    x = 1,261,405.49/1,202.99
  6. Step 6: Final answer
    x = 1,048.56

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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.