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Finding the Fourth Proportional to 730.59, 1,008.04 and 468.69

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Solution

The fourth proportional to 730.59, 1,008.04 and 468.69 is: 646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.59 : 1,008.04 = 468.69 : x
  2. Step 2: Convert to fraction form
    730.59/1,008.04 = 468.69/x
  3. Step 3: Cross multiply
    730.59x = 1,008.04 × 468.69
  4. Step 4: Simplify right side
    730.59x = 472,458.27
  5. Step 5: Solve for x
    x = 472,458.27/730.59
  6. Step 6: Final answer
    x = 646.68

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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.