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Finding the Fourth Proportional to 813.76, 1,122.56 and 482.08

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Solution

The fourth proportional to 813.76, 1,122.56 and 482.08 is: 665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.76 : 1,122.56 = 482.08 : x
  2. Step 2: Convert to fraction form
    813.76/1,122.56 = 482.08/x
  3. Step 3: Cross multiply
    813.76x = 1,122.56 × 482.08
  4. Step 4: Simplify right side
    813.76x = 541,163.72
  5. Step 5: Solve for x
    x = 541,163.72/813.76
  6. Step 6: Final answer
    x = 665.02

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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.