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Finding the Fourth Proportional to 616.56, 847.27 and 512.88

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Solution

The fourth proportional to 616.56, 847.27 and 512.88 is: 704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 847.27 = 512.88 : x
  2. Step 2: Convert to fraction form
    616.56/847.27 = 512.88/x
  3. Step 3: Cross multiply
    616.56x = 847.27 × 512.88
  4. Step 4: Simplify right side
    616.56x = 434,547.84
  5. Step 5: Solve for x
    x = 434,547.84/616.56
  6. Step 6: Final answer
    x = 704.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.