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Finding the Fourth Proportional to 777.54, 1,073.02 and 428.22

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Solution

The fourth proportional to 777.54, 1,073.02 and 428.22 is: 590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.54 : 1,073.02 = 428.22 : x
  2. Step 2: Convert to fraction form
    777.54/1,073.02 = 428.22/x
  3. Step 3: Cross multiply
    777.54x = 1,073.02 × 428.22
  4. Step 4: Simplify right side
    777.54x = 459,488.62
  5. Step 5: Solve for x
    x = 459,488.62/777.54
  6. Step 6: Final answer
    x = 590.95

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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.