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Finding the Fourth Proportional to 1,254.14, 1,730.55 and 756.69

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Solution

The fourth proportional to 1,254.14, 1,730.55 and 756.69 is: 1,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.14 : 1,730.55 = 756.69 : x
  2. Step 2: Convert to fraction form
    1,254.14/1,730.55 = 756.69/x
  3. Step 3: Cross multiply
    1,254.14x = 1,730.55 × 756.69
  4. Step 4: Simplify right side
    1,254.14x = 1,309,489.88
  5. Step 5: Solve for x
    x = 1,309,489.88/1,254.14
  6. Step 6: Final answer
    x = 1,044.14

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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.