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Finding the Fourth Proportional to 960.83, 1,442.27 and 474.22

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Solution

The fourth proportional to 960.83, 1,442.27 and 474.22 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.83 : 1,442.27 = 474.22 : x
  2. Step 2: Convert to fraction form
    960.83/1,442.27 = 474.22/x
  3. Step 3: Cross multiply
    960.83x = 1,442.27 × 474.22
  4. Step 4: Simplify right side
    960.83x = 683,953.28
  5. Step 5: Solve for x
    x = 683,953.28/960.83
  6. Step 6: Final answer
    x = 711.84

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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.