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Finding the Fourth Proportional to 800.63, 1,104.86 and 446.59

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Solution

The fourth proportional to 800.63, 1,104.86 and 446.59 is: 616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.63 : 1,104.86 = 446.59 : x
  2. Step 2: Convert to fraction form
    800.63/1,104.86 = 446.59/x
  3. Step 3: Cross multiply
    800.63x = 1,104.86 × 446.59
  4. Step 4: Simplify right side
    800.63x = 493,417.75
  5. Step 5: Solve for x
    x = 493,417.75/800.63
  6. Step 6: Final answer
    x = 616.28

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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.