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Finding the Fourth Proportional to 1,563.80, 2,157.96 and 900.64

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Solution

The fourth proportional to 1,563.80, 2,157.96 and 900.64 is: 1,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,157.96 = 900.64 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,157.96 = 900.64/x
  3. Step 3: Cross multiply
    1,563.80x = 2,157.96 × 900.64
  4. Step 4: Simplify right side
    1,563.80x = 1,943,545.09
  5. Step 5: Solve for x
    x = 1,943,545.09/1,563.80
  6. Step 6: Final answer
    x = 1,242.83

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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.