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Finding the Fourth Proportional to 1,309.86, 1,964.14 and 762.18

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Solution

The fourth proportional to 1,309.86, 1,964.14 and 762.18 is: 1,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.86 : 1,964.14 = 762.18 : x
  2. Step 2: Convert to fraction form
    1,309.86/1,964.14 = 762.18/x
  3. Step 3: Cross multiply
    1,309.86x = 1,964.14 × 762.18
  4. Step 4: Simplify right side
    1,309.86x = 1,497,028.23
  5. Step 5: Solve for x
    x = 1,497,028.23/1,309.86
  6. Step 6: Final answer
    x = 1,142.89

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Why These Related Problems?

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