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Finding the Fourth Proportional to 595.74, 820.98 and 512.82

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Solution

The fourth proportional to 595.74, 820.98 and 512.82 is: 706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.74 : 820.98 = 512.82 : x
  2. Step 2: Convert to fraction form
    595.74/820.98 = 512.82/x
  3. Step 3: Cross multiply
    595.74x = 820.98 × 512.82
  4. Step 4: Simplify right side
    595.74x = 421,014.96
  5. Step 5: Solve for x
    x = 421,014.96/595.74
  6. Step 6: Final answer
    x = 706.71

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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.