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Finding the Fourth Proportional to 1,729.77, 2,593.02 and 804.84

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Solution

The fourth proportional to 1,729.77, 2,593.02 and 804.84 is: 1,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.77 : 2,593.02 = 804.84 : x
  2. Step 2: Convert to fraction form
    1,729.77/2,593.02 = 804.84/x
  3. Step 3: Cross multiply
    1,729.77x = 2,593.02 × 804.84
  4. Step 4: Simplify right side
    1,729.77x = 2,086,966.22
  5. Step 5: Solve for x
    x = 2,086,966.22/1,729.77
  6. Step 6: Final answer
    x = 1,206.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.