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Finding the Fourth Proportional to 730.20, 1,007.88 and 468.18

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Solution

The fourth proportional to 730.20, 1,007.88 and 468.18 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,007.88 = 468.18 : x
  2. Step 2: Convert to fraction form
    730.20/1,007.88 = 468.18/x
  3. Step 3: Cross multiply
    730.20x = 1,007.88 × 468.18
  4. Step 4: Simplify right side
    730.20x = 471,869.26
  5. Step 5: Solve for x
    x = 471,869.26/730.20
  6. Step 6: Final answer
    x = 646.22

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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.