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Finding the Fourth Proportional to 777.92, 1,073.56 and 428.64

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Solution

The fourth proportional to 777.92, 1,073.56 and 428.64 is: 591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.92 : 1,073.56 = 428.64 : x
  2. Step 2: Convert to fraction form
    777.92/1,073.56 = 428.64/x
  3. Step 3: Cross multiply
    777.92x = 1,073.56 × 428.64
  4. Step 4: Simplify right side
    777.92x = 460,170.76
  5. Step 5: Solve for x
    x = 460,170.76/777.92
  6. Step 6: Final answer
    x = 591.54

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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.