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Finding the Fourth Proportional to 1,409.99, 1,945.89 and 820.44

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Solution

The fourth proportional to 1,409.99, 1,945.89 and 820.44 is: 1,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.99 : 1,945.89 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,409.99/1,945.89 = 820.44/x
  3. Step 3: Cross multiply
    1,409.99x = 1,945.89 × 820.44
  4. Step 4: Simplify right side
    1,409.99x = 1,596,485.99
  5. Step 5: Solve for x
    x = 1,596,485.99/1,409.99
  6. Step 6: Final answer
    x = 1,132.27

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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.