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Finding the Fourth Proportional to 948, 1,418.64 and 582.24

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Solution

The fourth proportional to 948, 1,418.64 and 582.24 is: 871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    948 : 1,418.64 = 582.24 : x
  2. Step 2: Convert to fraction form
    948/1,418.64 = 582.24/x
  3. Step 3: Cross multiply
    948x = 1,418.64 × 582.24
  4. Step 4: Simplify right side
    948x = 825,988.95
  5. Step 5: Solve for x
    x = 825,988.95/948
  6. Step 6: Final answer
    x = 871.30

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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.