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Finding the Fourth Proportional to 678.79, 935.10 and 512.94

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Solution

The fourth proportional to 678.79, 935.10 and 512.94 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.79 : 935.10 = 512.94 : x
  2. Step 2: Convert to fraction form
    678.79/935.10 = 512.94/x
  3. Step 3: Cross multiply
    678.79x = 935.10 × 512.94
  4. Step 4: Simplify right side
    678.79x = 479,650.19
  5. Step 5: Solve for x
    x = 479,650.19/678.79
  6. Step 6: Final answer
    x = 706.63

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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.