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Finding the Fourth Proportional to 826.34, 1,240.13 and 718.21

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Solution

The fourth proportional to 826.34, 1,240.13 and 718.21 is: 1,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.34 : 1,240.13 = 718.21 : x
  2. Step 2: Convert to fraction form
    826.34/1,240.13 = 718.21/x
  3. Step 3: Cross multiply
    826.34x = 1,240.13 × 718.21
  4. Step 4: Simplify right side
    826.34x = 890,667.08
  5. Step 5: Solve for x
    x = 890,667.08/826.34
  6. Step 6: Final answer
    x = 1,077.84

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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.