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Finding the Fourth Proportional to 648.24, 970.54 and 582.63

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Solution

The fourth proportional to 648.24, 970.54 and 582.63 is: 872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 970.54 = 582.63 : x
  2. Step 2: Convert to fraction form
    648.24/970.54 = 582.63/x
  3. Step 3: Cross multiply
    648.24x = 970.54 × 582.63
  4. Step 4: Simplify right side
    648.24x = 565,464.26
  5. Step 5: Solve for x
    x = 565,464.26/648.24
  6. Step 6: Final answer
    x = 872.31

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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.