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Finding the Fourth Proportional to 728.03, 1,004.36 and 491.90

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Solution

The fourth proportional to 728.03, 1,004.36 and 491.90 is: 678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.03 : 1,004.36 = 491.90 : x
  2. Step 2: Convert to fraction form
    728.03/1,004.36 = 491.90/x
  3. Step 3: Cross multiply
    728.03x = 1,004.36 × 491.90
  4. Step 4: Simplify right side
    728.03x = 494,037.20
  5. Step 5: Solve for x
    x = 494,037.20/728.03
  6. Step 6: Final answer
    x = 678.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.