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Finding the Fourth Proportional to 830.62, 1,245.93 and 396.46

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Solution

The fourth proportional to 830.62, 1,245.93 and 396.46 is: 594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.62 : 1,245.93 = 396.46 : x
  2. Step 2: Convert to fraction form
    830.62/1,245.93 = 396.46/x
  3. Step 3: Cross multiply
    830.62x = 1,245.93 × 396.46
  4. Step 4: Simplify right side
    830.62x = 493,953.20
  5. Step 5: Solve for x
    x = 493,953.20/830.62
  6. Step 6: Final answer
    x = 594.68

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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.