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Finding the Fourth Proportional to 1,209.99, 1,669.41 and 712.78

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Solution

The fourth proportional to 1,209.99, 1,669.41 and 712.78 is: 983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.99 : 1,669.41 = 712.78 : x
  2. Step 2: Convert to fraction form
    1,209.99/1,669.41 = 712.78/x
  3. Step 3: Cross multiply
    1,209.99x = 1,669.41 × 712.78
  4. Step 4: Simplify right side
    1,209.99x = 1,189,922.06
  5. Step 5: Solve for x
    x = 1,189,922.06/1,209.99
  6. Step 6: Final answer
    x = 983.41

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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.