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Finding the Fourth Proportional to 1,597.75, 2,205.03 and 899.26

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Solution

The fourth proportional to 1,597.75, 2,205.03 and 899.26 is: 1,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.75 : 2,205.03 = 899.26 : x
  2. Step 2: Convert to fraction form
    1,597.75/2,205.03 = 899.26/x
  3. Step 3: Cross multiply
    1,597.75x = 2,205.03 × 899.26
  4. Step 4: Simplify right side
    1,597.75x = 1,982,895.28
  5. Step 5: Solve for x
    x = 1,982,895.28/1,597.75
  6. Step 6: Final answer
    x = 1,241.05

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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.