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Finding the Fourth Proportional to 1,309.89, 1,966.14 and 763.14

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Solution

The fourth proportional to 1,309.89, 1,966.14 and 763.14 is: 1,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.89 : 1,966.14 = 763.14 : x
  2. Step 2: Convert to fraction form
    1,309.89/1,966.14 = 763.14/x
  3. Step 3: Cross multiply
    1,309.89x = 1,966.14 × 763.14
  4. Step 4: Simplify right side
    1,309.89x = 1,500,440.08
  5. Step 5: Solve for x
    x = 1,500,440.08/1,309.89
  6. Step 6: Final answer
    x = 1,145.47

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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.