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Finding the Fourth Proportional to 961.70, 1,442.70 and 414.05

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Solution

The fourth proportional to 961.70, 1,442.70 and 414.05 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.70 : 1,442.70 = 414.05 : x
  2. Step 2: Convert to fraction form
    961.70/1,442.70 = 414.05/x
  3. Step 3: Cross multiply
    961.70x = 1,442.70 × 414.05
  4. Step 4: Simplify right side
    961.70x = 597,342.72
  5. Step 5: Solve for x
    x = 597,342.72/961.70
  6. Step 6: Final answer
    x = 621.14

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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.