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Finding the Fourth Proportional to 684.99, 945.68 and 452.79

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Solution

The fourth proportional to 684.99, 945.68 and 452.79 is: 625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 945.68 = 452.79 : x
  2. Step 2: Convert to fraction form
    684.99/945.68 = 452.79/x
  3. Step 3: Cross multiply
    684.99x = 945.68 × 452.79
  4. Step 4: Simplify right side
    684.99x = 428,192.18
  5. Step 5: Solve for x
    x = 428,192.18/684.99
  6. Step 6: Final answer
    x = 625.11

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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.