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Finding the Fourth Proportional to 804.57, 1,109.81 and 509.33

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Solution

The fourth proportional to 804.57, 1,109.81 and 509.33 is: 702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.57 : 1,109.81 = 509.33 : x
  2. Step 2: Convert to fraction form
    804.57/1,109.81 = 509.33/x
  3. Step 3: Cross multiply
    804.57x = 1,109.81 × 509.33
  4. Step 4: Simplify right side
    804.57x = 565,251.43
  5. Step 5: Solve for x
    x = 565,251.43/804.57
  6. Step 6: Final answer
    x = 702.55

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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.