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Finding the Fourth Proportional to 778.29, 1,072.95 and 556.84

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Solution

The fourth proportional to 778.29, 1,072.95 and 556.84 is: 767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.29 : 1,072.95 = 556.84 : x
  2. Step 2: Convert to fraction form
    778.29/1,072.95 = 556.84/x
  3. Step 3: Cross multiply
    778.29x = 1,072.95 × 556.84
  4. Step 4: Simplify right side
    778.29x = 597,461.48
  5. Step 5: Solve for x
    x = 597,461.48/778.29
  6. Step 6: Final answer
    x = 767.66

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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.