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Finding the Fourth Proportional to 1,004.56, 1,505.79 and 542.23

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Solution

The fourth proportional to 1,004.56, 1,505.79 and 542.23 is: 812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.56 : 1,505.79 = 542.23 : x
  2. Step 2: Convert to fraction form
    1,004.56/1,505.79 = 542.23/x
  3. Step 3: Cross multiply
    1,004.56x = 1,505.79 × 542.23
  4. Step 4: Simplify right side
    1,004.56x = 816,480.75
  5. Step 5: Solve for x
    x = 816,480.75/1,004.56
  6. Step 6: Final answer
    x = 812.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.