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Finding the Fourth Proportional to 818.87, 1,129.98 and 464.80

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Solution

The fourth proportional to 818.87, 1,129.98 and 464.80 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.87 : 1,129.98 = 464.80 : x
  2. Step 2: Convert to fraction form
    818.87/1,129.98 = 464.80/x
  3. Step 3: Cross multiply
    818.87x = 1,129.98 × 464.80
  4. Step 4: Simplify right side
    818.87x = 525,211.88
  5. Step 5: Solve for x
    x = 525,211.88/818.87
  6. Step 6: Final answer
    x = 641.38

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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.