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Finding the Fourth Proportional to 595.71, 820.89 and 506.91

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Solution

The fourth proportional to 595.71, 820.89 and 506.91 is: 698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.71 : 820.89 = 506.91 : x
  2. Step 2: Convert to fraction form
    595.71/820.89 = 506.91/x
  3. Step 3: Cross multiply
    595.71x = 820.89 × 506.91
  4. Step 4: Simplify right side
    595.71x = 416,117.35
  5. Step 5: Solve for x
    x = 416,117.35/595.71
  6. Step 6: Final answer
    x = 698.52

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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.