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Finding the Fourth Proportional to 651.24, 975.60 and 582.48

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Solution

The fourth proportional to 651.24, 975.60 and 582.48 is: 872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 975.60 = 582.48 : x
  2. Step 2: Convert to fraction form
    651.24/975.60 = 582.48/x
  3. Step 3: Cross multiply
    651.24x = 975.60 × 582.48
  4. Step 4: Simplify right side
    651.24x = 568,267.49
  5. Step 5: Solve for x
    x = 568,267.49/651.24
  6. Step 6: Final answer
    x = 872.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.