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Finding the Fourth Proportional to 961.61, 1,442.41 and 440.03

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Solution

The fourth proportional to 961.61, 1,442.41 and 440.03 is: 660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.61 : 1,442.41 = 440.03 : x
  2. Step 2: Convert to fraction form
    961.61/1,442.41 = 440.03/x
  3. Step 3: Cross multiply
    961.61x = 1,442.41 × 440.03
  4. Step 4: Simplify right side
    961.61x = 634,706.18
  5. Step 5: Solve for x
    x = 634,706.18/961.61
  6. Step 6: Final answer
    x = 660.05

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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.