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Finding the Fourth Proportional to 777.67, 1,074.73 and 637.57

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Solution

The fourth proportional to 777.67, 1,074.73 and 637.57 is: 881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.67 : 1,074.73 = 637.57 : x
  2. Step 2: Convert to fraction form
    777.67/1,074.73 = 637.57/x
  3. Step 3: Cross multiply
    777.67x = 1,074.73 × 637.57
  4. Step 4: Simplify right side
    777.67x = 685,215.61
  5. Step 5: Solve for x
    x = 685,215.61/777.67
  6. Step 6: Final answer
    x = 881.11

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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.