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Finding the Fourth Proportional to 818.25, 1,129.24 and 464.21

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Solution

The fourth proportional to 818.25, 1,129.24 and 464.21 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.25 : 1,129.24 = 464.21 : x
  2. Step 2: Convert to fraction form
    818.25/1,129.24 = 464.21/x
  3. Step 3: Cross multiply
    818.25x = 1,129.24 × 464.21
  4. Step 4: Simplify right side
    818.25x = 524,204.50
  5. Step 5: Solve for x
    x = 524,204.50/818.25
  6. Step 6: Final answer
    x = 640.64

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1.5x scale

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.