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Finding the Fourth Proportional to 777.89, 1,073.46 and 428.57

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Solution

The fourth proportional to 777.89, 1,073.46 and 428.57 is: 591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.89 : 1,073.46 = 428.57 : x
  2. Step 2: Convert to fraction form
    777.89/1,073.46 = 428.57/x
  3. Step 3: Cross multiply
    777.89x = 1,073.46 × 428.57
  4. Step 4: Simplify right side
    777.89x = 460,052.75
  5. Step 5: Solve for x
    x = 460,052.75/777.89
  6. Step 6: Final answer
    x = 591.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.