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Finding the Fourth Proportional to 962.14, 1,441.99 and 413.67

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Solution

The fourth proportional to 962.14, 1,441.99 and 413.67 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.14 : 1,441.99 = 413.67 : x
  2. Step 2: Convert to fraction form
    962.14/1,441.99 = 413.67/x
  3. Step 3: Cross multiply
    962.14x = 1,441.99 × 413.67
  4. Step 4: Simplify right side
    962.14x = 596,508.00
  5. Step 5: Solve for x
    x = 596,508.00/962.14
  6. Step 6: Final answer
    x = 619.98

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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.