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Finding the Fourth Proportional to 804.59, 1,109.96 and 583.05

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Solution

The fourth proportional to 804.59, 1,109.96 and 583.05 is: 804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.59 : 1,109.96 = 583.05 : x
  2. Step 2: Convert to fraction form
    804.59/1,109.96 = 583.05/x
  3. Step 3: Cross multiply
    804.59x = 1,109.96 × 583.05
  4. Step 4: Simplify right side
    804.59x = 647,162.18
  5. Step 5: Solve for x
    x = 647,162.18/804.59
  6. Step 6: Final answer
    x = 804.34

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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.