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Finding the Fourth Proportional to 1,324.85, 1,829.12 and 852.98

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Solution

The fourth proportional to 1,324.85, 1,829.12 and 852.98 is: 1,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.85 : 1,829.12 = 852.98 : x
  2. Step 2: Convert to fraction form
    1,324.85/1,829.12 = 852.98/x
  3. Step 3: Cross multiply
    1,324.85x = 1,829.12 × 852.98
  4. Step 4: Simplify right side
    1,324.85x = 1,560,189.37
  5. Step 5: Solve for x
    x = 1,560,189.37/1,324.85
  6. Step 6: Final answer
    x = 1,177.64

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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.