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Finding the Fourth Proportional to 807.63, 1,113.91 and 559.36

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Solution

The fourth proportional to 807.63, 1,113.91 and 559.36 is: 771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.63 : 1,113.91 = 559.36 : x
  2. Step 2: Convert to fraction form
    807.63/1,113.91 = 559.36/x
  3. Step 3: Cross multiply
    807.63x = 1,113.91 × 559.36
  4. Step 4: Simplify right side
    807.63x = 623,076.70
  5. Step 5: Solve for x
    x = 623,076.70/807.63
  6. Step 6: Final answer
    x = 771.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.