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Finding the Fourth Proportional to 1,563.96, 2,157.92 and 900.57

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Solution

The fourth proportional to 1,563.96, 2,157.92 and 900.57 is: 1,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.96 : 2,157.92 = 900.57 : x
  2. Step 2: Convert to fraction form
    1,563.96/2,157.92 = 900.57/x
  3. Step 3: Cross multiply
    1,563.96x = 2,157.92 × 900.57
  4. Step 4: Simplify right side
    1,563.96x = 1,943,350.31
  5. Step 5: Solve for x
    x = 1,943,350.31/1,563.96
  6. Step 6: Final answer
    x = 1,242.58

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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.