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Finding the Fourth Proportional to 777.46, 1,073.20 and 515.82

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Solution

The fourth proportional to 777.46, 1,073.20 and 515.82 is: 712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,073.20 = 515.82 : x
  2. Step 2: Convert to fraction form
    777.46/1,073.20 = 515.82/x
  3. Step 3: Cross multiply
    777.46x = 1,073.20 × 515.82
  4. Step 4: Simplify right side
    777.46x = 553,578.02
  5. Step 5: Solve for x
    x = 553,578.02/777.46
  6. Step 6: Final answer
    x = 712.03

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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.