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Finding the Fourth Proportional to 818.42, 1,129.34 and 464.37

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Solution

The fourth proportional to 818.42, 1,129.34 and 464.37 is: 640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.42 : 1,129.34 = 464.37 : x
  2. Step 2: Convert to fraction form
    818.42/1,129.34 = 464.37/x
  3. Step 3: Cross multiply
    818.42x = 1,129.34 × 464.37
  4. Step 4: Simplify right side
    818.42x = 524,429.29
  5. Step 5: Solve for x
    x = 524,429.29/818.42
  6. Step 6: Final answer
    x = 640.79

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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.