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Finding the Fourth Proportional to 796.14, 1,193.16 and 430.14

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Solution

The fourth proportional to 796.14, 1,193.16 and 430.14 is: 644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.14 : 1,193.16 = 430.14 : x
  2. Step 2: Convert to fraction form
    796.14/1,193.16 = 430.14/x
  3. Step 3: Cross multiply
    796.14x = 1,193.16 × 430.14
  4. Step 4: Simplify right side
    796.14x = 513,225.84
  5. Step 5: Solve for x
    x = 513,225.84/796.14
  6. Step 6: Final answer
    x = 644.64

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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.