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Finding the Fourth Proportional to 742.92, 1,113.60 and 413.50

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Solution

The fourth proportional to 742.92, 1,113.60 and 413.50 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,113.60 = 413.50 : x
  2. Step 2: Convert to fraction form
    742.92/1,113.60 = 413.50/x
  3. Step 3: Cross multiply
    742.92x = 1,113.60 × 413.50
  4. Step 4: Simplify right side
    742.92x = 460,473.60
  5. Step 5: Solve for x
    x = 460,473.60/742.92
  6. Step 6: Final answer
    x = 619.82

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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.