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Finding the Fourth Proportional to 826.42, 1,239.66 and 210.14

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Solution

The fourth proportional to 826.42, 1,239.66 and 210.14 is: 315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.42 : 1,239.66 = 210.14 : x
  2. Step 2: Convert to fraction form
    826.42/1,239.66 = 210.14/x
  3. Step 3: Cross multiply
    826.42x = 1,239.66 × 210.14
  4. Step 4: Simplify right side
    826.42x = 260,500.60
  5. Step 5: Solve for x
    x = 260,500.60/826.42
  6. Step 6: Final answer
    x = 315.22

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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.