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Finding the Fourth Proportional to 813.12, 1,121.79 and 498.28

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Solution

The fourth proportional to 813.12, 1,121.79 and 498.28 is: 687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.12 : 1,121.79 = 498.28 : x
  2. Step 2: Convert to fraction form
    813.12/1,121.79 = 498.28/x
  3. Step 3: Cross multiply
    813.12x = 1,121.79 × 498.28
  4. Step 4: Simplify right side
    813.12x = 558,962.72
  5. Step 5: Solve for x
    x = 558,962.72/813.12
  6. Step 6: Final answer
    x = 687.43

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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.