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Finding the Fourth Proportional to 526.69, 792.92 and 482.05

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Solution

The fourth proportional to 526.69, 792.92 and 482.05 is: 725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.69 : 792.92 = 482.05 : x
  2. Step 2: Convert to fraction form
    526.69/792.92 = 482.05/x
  3. Step 3: Cross multiply
    526.69x = 792.92 × 482.05
  4. Step 4: Simplify right side
    526.69x = 382,227.09
  5. Step 5: Solve for x
    x = 382,227.09/526.69
  6. Step 6: Final answer
    x = 725.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.