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Finding the Fourth Proportional to 1,260.85, 1,740.02 and 763.21

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Solution

The fourth proportional to 1,260.85, 1,740.02 and 763.21 is: 1,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.85 : 1,740.02 = 763.21 : x
  2. Step 2: Convert to fraction form
    1,260.85/1,740.02 = 763.21/x
  3. Step 3: Cross multiply
    1,260.85x = 1,740.02 × 763.21
  4. Step 4: Simplify right side
    1,260.85x = 1,327,998.22
  5. Step 5: Solve for x
    x = 1,327,998.22/1,260.85
  6. Step 6: Final answer
    x = 1,053.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.