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Finding the Fourth Proportional to 807.60, 1,212.84 and 564.60

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Solution

The fourth proportional to 807.60, 1,212.84 and 564.60 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.60 : 1,212.84 = 564.60 : x
  2. Step 2: Convert to fraction form
    807.60/1,212.84 = 564.60/x
  3. Step 3: Cross multiply
    807.60x = 1,212.84 × 564.60
  4. Step 4: Simplify right side
    807.60x = 684,769.46
  5. Step 5: Solve for x
    x = 684,769.46/807.60
  6. Step 6: Final answer
    x = 847.91

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