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Finding the Fourth Proportional to 1,757.22, 2,635.98 and 458.69

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Solution

The fourth proportional to 1,757.22, 2,635.98 and 458.69 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.22 : 2,635.98 = 458.69 : x
  2. Step 2: Convert to fraction form
    1,757.22/2,635.98 = 458.69/x
  3. Step 3: Cross multiply
    1,757.22x = 2,635.98 × 458.69
  4. Step 4: Simplify right side
    1,757.22x = 1,209,097.67
  5. Step 5: Solve for x
    x = 1,209,097.67/1,757.22
  6. Step 6: Final answer
    x = 688.07

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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.