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Finding the Fourth Proportional to 967.96, 1,335.78 and 525.86

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Solution

The fourth proportional to 967.96, 1,335.78 and 525.86 is: 725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.96 : 1,335.78 = 525.86 : x
  2. Step 2: Convert to fraction form
    967.96/1,335.78 = 525.86/x
  3. Step 3: Cross multiply
    967.96x = 1,335.78 × 525.86
  4. Step 4: Simplify right side
    967.96x = 702,433.27
  5. Step 5: Solve for x
    x = 702,433.27/967.96
  6. Step 6: Final answer
    x = 725.68

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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.