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Finding the Fourth Proportional to 777.63, 1,073.13 and 423.55

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Solution

The fourth proportional to 777.63, 1,073.13 and 423.55 is: 584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.63 : 1,073.13 = 423.55 : x
  2. Step 2: Convert to fraction form
    777.63/1,073.13 = 423.55/x
  3. Step 3: Cross multiply
    777.63x = 1,073.13 × 423.55
  4. Step 4: Simplify right side
    777.63x = 454,524.21
  5. Step 5: Solve for x
    x = 454,524.21/777.63
  6. Step 6: Final answer
    x = 584.50

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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.