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Finding the Fourth Proportional to 687.03, 948.01 and 392.24

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Solution

The fourth proportional to 687.03, 948.01 and 392.24 is: 541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.03 : 948.01 = 392.24 : x
  2. Step 2: Convert to fraction form
    687.03/948.01 = 392.24/x
  3. Step 3: Cross multiply
    687.03x = 948.01 × 392.24
  4. Step 4: Simplify right side
    687.03x = 371,844.09
  5. Step 5: Solve for x
    x = 371,844.09/687.03
  6. Step 6: Final answer
    x = 541.24

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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.