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Finding the Fourth Proportional to 1,485.23, 2,224.98 and 833.99

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Solution

The fourth proportional to 1,485.23, 2,224.98 and 833.99 is: 1,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.23 : 2,224.98 = 833.99 : x
  2. Step 2: Convert to fraction form
    1,485.23/2,224.98 = 833.99/x
  3. Step 3: Cross multiply
    1,485.23x = 2,224.98 × 833.99
  4. Step 4: Simplify right side
    1,485.23x = 1,855,599.95
  5. Step 5: Solve for x
    x = 1,855,599.95/1,485.23
  6. Step 6: Final answer
    x = 1,249.37

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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.