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Finding the Fourth Proportional to 818.24, 1,129.13 and 464.15

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Solution

The fourth proportional to 818.24, 1,129.13 and 464.15 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.24 : 1,129.13 = 464.15 : x
  2. Step 2: Convert to fraction form
    818.24/1,129.13 = 464.15/x
  3. Step 3: Cross multiply
    818.24x = 1,129.13 × 464.15
  4. Step 4: Simplify right side
    818.24x = 524,090.69
  5. Step 5: Solve for x
    x = 524,090.69/818.24
  6. Step 6: Final answer
    x = 640.51

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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.