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Finding the Fourth Proportional to 807.60, 1,213.20 and 564.60

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Solution

The fourth proportional to 807.60, 1,213.20 and 564.60 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.60 : 1,213.20 = 564.60 : x
  2. Step 2: Convert to fraction form
    807.60/1,213.20 = 564.60/x
  3. Step 3: Cross multiply
    807.60x = 1,213.20 × 564.60
  4. Step 4: Simplify right side
    807.60x = 684,972.72
  5. Step 5: Solve for x
    x = 684,972.72/807.60
  6. Step 6: Final answer
    x = 848.16

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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.