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Finding the Fourth Proportional to 777.86, 1,164.18 and 425.98

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Solution

The fourth proportional to 777.86, 1,164.18 and 425.98 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.86 : 1,164.18 = 425.98 : x
  2. Step 2: Convert to fraction form
    777.86/1,164.18 = 425.98/x
  3. Step 3: Cross multiply
    777.86x = 1,164.18 × 425.98
  4. Step 4: Simplify right side
    777.86x = 495,917.40
  5. Step 5: Solve for x
    x = 495,917.40/777.86
  6. Step 6: Final answer
    x = 637.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.