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Finding the Fourth Proportional to 693.81, 957.69 and 445.14

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Solution

The fourth proportional to 693.81, 957.69 and 445.14 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.81 : 957.69 = 445.14 : x
  2. Step 2: Convert to fraction form
    693.81/957.69 = 445.14/x
  3. Step 3: Cross multiply
    693.81x = 957.69 × 445.14
  4. Step 4: Simplify right side
    693.81x = 426,306.13
  5. Step 5: Solve for x
    x = 426,306.13/693.81
  6. Step 6: Final answer
    x = 614.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.