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Finding the Fourth Proportional to 777.96, 1,073.58 and 428.65

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Solution

The fourth proportional to 777.96, 1,073.58 and 428.65 is: 591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.96 : 1,073.58 = 428.65 : x
  2. Step 2: Convert to fraction form
    777.96/1,073.58 = 428.65/x
  3. Step 3: Cross multiply
    777.96x = 1,073.58 × 428.65
  4. Step 4: Simplify right side
    777.96x = 460,190.07
  5. Step 5: Solve for x
    x = 460,190.07/777.96
  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.