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Finding the Fourth Proportional to 730.70, 1,008.35 and 399.13

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Solution

The fourth proportional to 730.70, 1,008.35 and 399.13 is: 550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.70 : 1,008.35 = 399.13 : x
  2. Step 2: Convert to fraction form
    730.70/1,008.35 = 399.13/x
  3. Step 3: Cross multiply
    730.70x = 1,008.35 × 399.13
  4. Step 4: Simplify right side
    730.70x = 402,458.22
  5. Step 5: Solve for x
    x = 402,458.22/730.70
  6. Step 6: Final answer
    x = 550.79

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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.