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Finding the Fourth Proportional to 818.26, 1,129.07 and 468.88

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Solution

The fourth proportional to 818.26, 1,129.07 and 468.88 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.26 : 1,129.07 = 468.88 : x
  2. Step 2: Convert to fraction form
    818.26/1,129.07 = 468.88/x
  3. Step 3: Cross multiply
    818.26x = 1,129.07 × 468.88
  4. Step 4: Simplify right side
    818.26x = 529,390.35
  5. Step 5: Solve for x
    x = 529,390.35/818.26
  6. Step 6: Final answer
    x = 646.97

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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.