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Finding the Fourth Proportional to 818.69, 1,129.59 and 464.57

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Solution

The fourth proportional to 818.69, 1,129.59 and 464.57 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.69 : 1,129.59 = 464.57 : x
  2. Step 2: Convert to fraction form
    818.69/1,129.59 = 464.57/x
  3. Step 3: Cross multiply
    818.69x = 1,129.59 × 464.57
  4. Step 4: Simplify right side
    818.69x = 524,767.98
  5. Step 5: Solve for x
    x = 524,767.98/818.69
  6. Step 6: Final answer
    x = 640.99

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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.