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Finding the Fourth Proportional to 818.48, 1,229.12 and 546.32

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Solution

The fourth proportional to 818.48, 1,229.12 and 546.32 is: 820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.48 : 1,229.12 = 546.32 : x
  2. Step 2: Convert to fraction form
    818.48/1,229.12 = 546.32/x
  3. Step 3: Cross multiply
    818.48x = 1,229.12 × 546.32
  4. Step 4: Simplify right side
    818.48x = 671,483.96
  5. Step 5: Solve for x
    x = 671,483.96/818.48
  6. Step 6: Final answer
    x = 820.41

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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.