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Finding the Fourth Proportional to 1,312.71, 1,968.26 and 764.61

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Solution

The fourth proportional to 1,312.71, 1,968.26 and 764.61 is: 1,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.71 : 1,968.26 = 764.61 : x
  2. Step 2: Convert to fraction form
    1,312.71/1,968.26 = 764.61/x
  3. Step 3: Cross multiply
    1,312.71x = 1,968.26 × 764.61
  4. Step 4: Simplify right side
    1,312.71x = 1,504,947.46
  5. Step 5: Solve for x
    x = 1,504,947.46/1,312.71
  6. Step 6: Final answer
    x = 1,146.44

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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.