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Finding the Fourth Proportional to 948.44, 1,420.56 and 582.14

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Solution

The fourth proportional to 948.44, 1,420.56 and 582.14 is: 871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.44 : 1,420.56 = 582.14 : x
  2. Step 2: Convert to fraction form
    948.44/1,420.56 = 582.14/x
  3. Step 3: Cross multiply
    948.44x = 1,420.56 × 582.14
  4. Step 4: Simplify right side
    948.44x = 826,957.70
  5. Step 5: Solve for x
    x = 826,957.70/948.44
  6. Step 6: Final answer
    x = 871.92

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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.