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Finding the Fourth Proportional to 804.73, 1,109.98 and 542.29

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Solution

The fourth proportional to 804.73, 1,109.98 and 542.29 is: 747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.73 : 1,109.98 = 542.29 : x
  2. Step 2: Convert to fraction form
    804.73/1,109.98 = 542.29/x
  3. Step 3: Cross multiply
    804.73x = 1,109.98 × 542.29
  4. Step 4: Simplify right side
    804.73x = 601,931.05
  5. Step 5: Solve for x
    x = 601,931.05/804.73
  6. Step 6: Final answer
    x = 747.99

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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.