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Finding the Fourth Proportional to 1,379.84, 2,070.84 and 763.97

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Solution

The fourth proportional to 1,379.84, 2,070.84 and 763.97 is: 1,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.84 : 2,070.84 = 763.97 : x
  2. Step 2: Convert to fraction form
    1,379.84/2,070.84 = 763.97/x
  3. Step 3: Cross multiply
    1,379.84x = 2,070.84 × 763.97
  4. Step 4: Simplify right side
    1,379.84x = 1,582,059.63
  5. Step 5: Solve for x
    x = 1,582,059.63/1,379.84
  6. Step 6: Final answer
    x = 1,146.55

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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.