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Finding the Fourth Proportional to 1,598.49, 2,205.72 and 899.82

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Solution

The fourth proportional to 1,598.49, 2,205.72 and 899.82 is: 1,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.49 : 2,205.72 = 899.82 : x
  2. Step 2: Convert to fraction form
    1,598.49/2,205.72 = 899.82/x
  3. Step 3: Cross multiply
    1,598.49x = 2,205.72 × 899.82
  4. Step 4: Simplify right side
    1,598.49x = 1,984,750.97
  5. Step 5: Solve for x
    x = 1,984,750.97/1,598.49
  6. Step 6: Final answer
    x = 1,241.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.