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Finding the Fourth Proportional to 804.72, 1,109.22 and 542.28

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Solution

The fourth proportional to 804.72, 1,109.22 and 542.28 is: 747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.72 : 1,109.22 = 542.28 : x
  2. Step 2: Convert to fraction form
    804.72/1,109.22 = 542.28/x
  3. Step 3: Cross multiply
    804.72x = 1,109.22 × 542.28
  4. Step 4: Simplify right side
    804.72x = 601,507.82
  5. Step 5: Solve for x
    x = 601,507.82/804.72
  6. Step 6: Final answer
    x = 747.47

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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.