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Finding the Fourth Proportional to 651.90, 982.24 and 590.27

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Solution

The fourth proportional to 651.90, 982.24 and 590.27 is: 889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.90 : 982.24 = 590.27 : x
  2. Step 2: Convert to fraction form
    651.90/982.24 = 590.27/x
  3. Step 3: Cross multiply
    651.90x = 982.24 × 590.27
  4. Step 4: Simplify right side
    651.90x = 579,786.80
  5. Step 5: Solve for x
    x = 579,786.80/651.90
  6. Step 6: Final answer
    x = 889.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.