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Finding the Fourth Proportional to 948.22, 1,420.76 and 582.23

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Solution

The fourth proportional to 948.22, 1,420.76 and 582.23 is: 872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.22 : 1,420.76 = 582.23 : x
  2. Step 2: Convert to fraction form
    948.22/1,420.76 = 582.23/x
  3. Step 3: Cross multiply
    948.22x = 1,420.76 × 582.23
  4. Step 4: Simplify right side
    948.22x = 827,214.10
  5. Step 5: Solve for x
    x = 827,214.10/948.22
  6. Step 6: Final answer
    x = 872.39

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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.