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Finding the Fourth Proportional to 804.39, 1,109.73 and 542.49

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Solution

The fourth proportional to 804.39, 1,109.73 and 542.49 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.39 : 1,109.73 = 542.49 : x
  2. Step 2: Convert to fraction form
    804.39/1,109.73 = 542.49/x
  3. Step 3: Cross multiply
    804.39x = 1,109.73 × 542.49
  4. Step 4: Simplify right side
    804.39x = 602,017.43
  5. Step 5: Solve for x
    x = 602,017.43/804.39
  6. Step 6: Final answer
    x = 748.41

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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.