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Finding the Fourth Proportional to 830.67, 1,244.75 and 397.23

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Solution

The fourth proportional to 830.67, 1,244.75 and 397.23 is: 595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,244.75 = 397.23 : x
  2. Step 2: Convert to fraction form
    830.67/1,244.75 = 397.23/x
  3. Step 3: Cross multiply
    830.67x = 1,244.75 × 397.23
  4. Step 4: Simplify right side
    830.67x = 494,450.06
  5. Step 5: Solve for x
    x = 494,450.06/830.67
  6. Step 6: Final answer
    x = 595.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.