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Finding the Fourth Proportional to 1,457.73, 2,185.08 and 635.78

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Solution

The fourth proportional to 1,457.73, 2,185.08 and 635.78 is: 953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.73 : 2,185.08 = 635.78 : x
  2. Step 2: Convert to fraction form
    1,457.73/2,185.08 = 635.78/x
  3. Step 3: Cross multiply
    1,457.73x = 2,185.08 × 635.78
  4. Step 4: Simplify right side
    1,457.73x = 1,389,233.24
  5. Step 5: Solve for x
    x = 1,389,233.24/1,457.73
  6. Step 6: Final answer
    x = 953.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.