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Finding the Fourth Proportional to 795.14, 1,192.64 and 384.02

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Solution

The fourth proportional to 795.14, 1,192.64 and 384.02 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.14 : 1,192.64 = 384.02 : x
  2. Step 2: Convert to fraction form
    795.14/1,192.64 = 384.02/x
  3. Step 3: Cross multiply
    795.14x = 1,192.64 × 384.02
  4. Step 4: Simplify right side
    795.14x = 457,989.73
  5. Step 5: Solve for x
    x = 457,989.73/795.14
  6. Step 6: Final answer
    x = 575.99

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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.