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Finding the Fourth Proportional to 807.44, 1,114.32 and 512.60

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Solution

The fourth proportional to 807.44, 1,114.32 and 512.60 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.44 : 1,114.32 = 512.60 : x
  2. Step 2: Convert to fraction form
    807.44/1,114.32 = 512.60/x
  3. Step 3: Cross multiply
    807.44x = 1,114.32 × 512.60
  4. Step 4: Simplify right side
    807.44x = 571,200.43
  5. Step 5: Solve for x
    x = 571,200.43/807.44
  6. Step 6: Final answer
    x = 707.42

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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.