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Finding the Fourth Proportional to 808.60, 1,212.60 and 564.40

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Solution

The fourth proportional to 808.60, 1,212.60 and 564.40 is: 846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.60 : 1,212.60 = 564.40 : x
  2. Step 2: Convert to fraction form
    808.60/1,212.60 = 564.40/x
  3. Step 3: Cross multiply
    808.60x = 1,212.60 × 564.40
  4. Step 4: Simplify right side
    808.60x = 684,391.44
  5. Step 5: Solve for x
    x = 684,391.44/808.60
  6. Step 6: Final answer
    x = 846.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.