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Finding the Fourth Proportional to 803.91, 1,109.49 and 454.60

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Solution

The fourth proportional to 803.91, 1,109.49 and 454.60 is: 627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.91 : 1,109.49 = 454.60 : x
  2. Step 2: Convert to fraction form
    803.91/1,109.49 = 454.60/x
  3. Step 3: Cross multiply
    803.91x = 1,109.49 × 454.60
  4. Step 4: Simplify right side
    803.91x = 504,371.38
  5. Step 5: Solve for x
    x = 504,371.38/803.91
  6. Step 6: Final answer
    x = 627.40

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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.