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Finding the Fourth Proportional to 1,202.33, 1,658.94 and 730.21

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Solution

The fourth proportional to 1,202.33, 1,658.94 and 730.21 is: 1,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.33 : 1,658.94 = 730.21 : x
  2. Step 2: Convert to fraction form
    1,202.33/1,658.94 = 730.21/x
  3. Step 3: Cross multiply
    1,202.33x = 1,658.94 × 730.21
  4. Step 4: Simplify right side
    1,202.33x = 1,211,377.38
  5. Step 5: Solve for x
    x = 1,211,377.38/1,202.33
  6. Step 6: Final answer
    x = 1,007.52

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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.