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Finding the Fourth Proportional to 693.48, 957.01 and 378.75

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Solution

The fourth proportional to 693.48, 957.01 and 378.75 is: 522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.48 : 957.01 = 378.75 : x
  2. Step 2: Convert to fraction form
    693.48/957.01 = 378.75/x
  3. Step 3: Cross multiply
    693.48x = 957.01 × 378.75
  4. Step 4: Simplify right side
    693.48x = 362,467.54
  5. Step 5: Solve for x
    x = 362,467.54/693.48
  6. Step 6: Final answer
    x = 522.68

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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.