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Finding the Fourth Proportional to 1,563.36, 2,157.43 and 900.33

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Solution

The fourth proportional to 1,563.36, 2,157.43 and 900.33 is: 1,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.36 : 2,157.43 = 900.33 : x
  2. Step 2: Convert to fraction form
    1,563.36/2,157.43 = 900.33/x
  3. Step 3: Cross multiply
    1,563.36x = 2,157.43 × 900.33
  4. Step 4: Simplify right side
    1,563.36x = 1,942,398.95
  5. Step 5: Solve for x
    x = 1,942,398.95/1,563.36
  6. Step 6: Final answer
    x = 1,242.45

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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.