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Finding the Fourth Proportional to 616.80, 851.64 and 518.78

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Solution

The fourth proportional to 616.80, 851.64 and 518.78 is: 716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.80 : 851.64 = 518.78 : x
  2. Step 2: Convert to fraction form
    616.80/851.64 = 518.78/x
  3. Step 3: Cross multiply
    616.80x = 851.64 × 518.78
  4. Step 4: Simplify right side
    616.80x = 441,813.80
  5. Step 5: Solve for x
    x = 441,813.80/616.80
  6. Step 6: Final answer
    x = 716.30

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1.5x scale

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.