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Finding the Fourth Proportional to 777.93, 1,072.83 and 515.49

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Solution

The fourth proportional to 777.93, 1,072.83 and 515.49 is: 710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.93 : 1,072.83 = 515.49 : x
  2. Step 2: Convert to fraction form
    777.93/1,072.83 = 515.49/x
  3. Step 3: Cross multiply
    777.93x = 1,072.83 × 515.49
  4. Step 4: Simplify right side
    777.93x = 553,029.11
  5. Step 5: Solve for x
    x = 553,029.11/777.93
  6. Step 6: Final answer
    x = 710.90

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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.