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Finding the Fourth Proportional to 777.86, 1,072.86 and 515.42

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Solution

The fourth proportional to 777.86, 1,072.86 and 515.42 is: 710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.86 : 1,072.86 = 515.42 : x
  2. Step 2: Convert to fraction form
    777.86/1,072.86 = 515.42/x
  3. Step 3: Cross multiply
    777.86x = 1,072.86 × 515.42
  4. Step 4: Simplify right side
    777.86x = 552,973.50
  5. Step 5: Solve for x
    x = 552,973.50/777.86
  6. Step 6: Final answer
    x = 710.89

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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.