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Finding the Fourth Proportional to 730.98, 1,008.18 and 468.90

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Solution

The fourth proportional to 730.98, 1,008.18 and 468.90 is: 646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.98 : 1,008.18 = 468.90 : x
  2. Step 2: Convert to fraction form
    730.98/1,008.18 = 468.90/x
  3. Step 3: Cross multiply
    730.98x = 1,008.18 × 468.90
  4. Step 4: Simplify right side
    730.98x = 472,735.60
  5. Step 5: Solve for x
    x = 472,735.60/730.98
  6. Step 6: Final answer
    x = 646.71

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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.