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Finding the Fourth Proportional to 839.22, 1,256.19 and 530

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Solution

The fourth proportional to 839.22, 1,256.19 and 530 is: 793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.22 : 1,256.19 = 530 : x
  2. Step 2: Convert to fraction form
    839.22/1,256.19 = 530/x
  3. Step 3: Cross multiply
    839.22x = 1,256.19 × 530
  4. Step 4: Simplify right side
    839.22x = 665,780.70
  5. Step 5: Solve for x
    x = 665,780.70/839.22
  6. Step 6: Final answer
    x = 793.33

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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.