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Finding the Fourth Proportional to 585.82, 805.90 and 506.54

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Solution

The fourth proportional to 585.82, 805.90 and 506.54 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.82 : 805.90 = 506.54 : x
  2. Step 2: Convert to fraction form
    585.82/805.90 = 506.54/x
  3. Step 3: Cross multiply
    585.82x = 805.90 × 506.54
  4. Step 4: Simplify right side
    585.82x = 408,218.05
  5. Step 5: Solve for x
    x = 408,218.05/585.82
  6. Step 6: Final answer
    x = 696.84

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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.