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Finding the Fourth Proportional to 830.62, 1,244.79 and 483.73

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Solution

The fourth proportional to 830.62, 1,244.79 and 483.73 is: 724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.62 : 1,244.79 = 483.73 : x
  2. Step 2: Convert to fraction form
    830.62/1,244.79 = 483.73/x
  3. Step 3: Cross multiply
    830.62x = 1,244.79 × 483.73
  4. Step 4: Simplify right side
    830.62x = 602,142.27
  5. Step 5: Solve for x
    x = 602,142.27/830.62
  6. Step 6: Final answer
    x = 724.93

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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.