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Finding the Fourth Proportional to 728.11, 1,004.03 and 476.09

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Solution

The fourth proportional to 728.11, 1,004.03 and 476.09 is: 656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.11 : 1,004.03 = 476.09 : x
  2. Step 2: Convert to fraction form
    728.11/1,004.03 = 476.09/x
  3. Step 3: Cross multiply
    728.11x = 1,004.03 × 476.09
  4. Step 4: Simplify right side
    728.11x = 478,004.81
  5. Step 5: Solve for x
    x = 478,004.81/728.11
  6. Step 6: Final answer
    x = 656.50

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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.