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Finding the Fourth Proportional to 1,206.88, 1,811.92 and 774.24

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Solution

The fourth proportional to 1,206.88, 1,811.92 and 774.24 is: 1,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.88 : 1,811.92 = 774.24 : x
  2. Step 2: Convert to fraction form
    1,206.88/1,811.92 = 774.24/x
  3. Step 3: Cross multiply
    1,206.88x = 1,811.92 × 774.24
  4. Step 4: Simplify right side
    1,206.88x = 1,402,860.94
  5. Step 5: Solve for x
    x = 1,402,860.94/1,206.88
  6. Step 6: Final answer
    x = 1,162.39

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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.