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Finding the Fourth Proportional to 730.88, 1,008.61 and 420.38

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Solution

The fourth proportional to 730.88, 1,008.61 and 420.38 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.88 : 1,008.61 = 420.38 : x
  2. Step 2: Convert to fraction form
    730.88/1,008.61 = 420.38/x
  3. Step 3: Cross multiply
    730.88x = 1,008.61 × 420.38
  4. Step 4: Simplify right side
    730.88x = 423,993.38
  5. Step 5: Solve for x
    x = 423,993.38/730.88
  6. Step 6: Final answer
    x = 580.12

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Why These Related Problems?

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