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Finding the Fourth Proportional to 520.92, 776.79 and 456.12

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Solution

The fourth proportional to 520.92, 776.79 and 456.12 is: 680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 776.79 = 456.12 : x
  2. Step 2: Convert to fraction form
    520.92/776.79 = 456.12/x
  3. Step 3: Cross multiply
    520.92x = 776.79 × 456.12
  4. Step 4: Simplify right side
    520.92x = 354,309.45
  5. Step 5: Solve for x
    x = 354,309.45/520.92
  6. Step 6: Final answer
    x = 680.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.