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Finding the Fourth Proportional to 730.05, 1,007.27 and 494.11

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Solution

The fourth proportional to 730.05, 1,007.27 and 494.11 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.05 : 1,007.27 = 494.11 : x
  2. Step 2: Convert to fraction form
    730.05/1,007.27 = 494.11/x
  3. Step 3: Cross multiply
    730.05x = 1,007.27 × 494.11
  4. Step 4: Simplify right side
    730.05x = 497,702.18
  5. Step 5: Solve for x
    x = 497,702.18/730.05
  6. Step 6: Final answer
    x = 681.74

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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.