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Finding the Fourth Proportional to 800.34, 1,104.42 and 468.75

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Solution

The fourth proportional to 800.34, 1,104.42 and 468.75 is: 646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,104.42 = 468.75 : x
  2. Step 2: Convert to fraction form
    800.34/1,104.42 = 468.75/x
  3. Step 3: Cross multiply
    800.34x = 1,104.42 × 468.75
  4. Step 4: Simplify right side
    800.34x = 517,696.88
  5. Step 5: Solve for x
    x = 517,696.88/800.34
  6. Step 6: Final answer
    x = 646.85

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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.