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Finding the Fourth Proportional to 818.88, 1,129.92 and 464.70

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Solution

The fourth proportional to 818.88, 1,129.92 and 464.70 is: 641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.88 : 1,129.92 = 464.70 : x
  2. Step 2: Convert to fraction form
    818.88/1,129.92 = 464.70/x
  3. Step 3: Cross multiply
    818.88x = 1,129.92 × 464.70
  4. Step 4: Simplify right side
    818.88x = 525,073.82
  5. Step 5: Solve for x
    x = 525,073.82/818.88
  6. Step 6: Final answer
    x = 641.21

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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.