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Finding the Fourth Proportional to 819.57, 1,130.99 and 446.55

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Solution

The fourth proportional to 819.57, 1,130.99 and 446.55 is: 616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.57 : 1,130.99 = 446.55 : x
  2. Step 2: Convert to fraction form
    819.57/1,130.99 = 446.55/x
  3. Step 3: Cross multiply
    819.57x = 1,130.99 × 446.55
  4. Step 4: Simplify right side
    819.57x = 505,041.35
  5. Step 5: Solve for x
    x = 505,041.35/819.57
  6. Step 6: Final answer
    x = 616.23

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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.