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Finding the Fourth Proportional to 800.61, 1,104.83 and 446.52

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Solution

The fourth proportional to 800.61, 1,104.83 and 446.52 is: 616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.61 : 1,104.83 = 446.52 : x
  2. Step 2: Convert to fraction form
    800.61/1,104.83 = 446.52/x
  3. Step 3: Cross multiply
    800.61x = 1,104.83 × 446.52
  4. Step 4: Simplify right side
    800.61x = 493,329.81
  5. Step 5: Solve for x
    x = 493,329.81/800.61
  6. Step 6: Final answer
    x = 616.19

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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.