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Finding the Fourth Proportional to 743.02, 1,113.53 and 413.96

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Solution

The fourth proportional to 743.02, 1,113.53 and 413.96 is: 620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.02 : 1,113.53 = 413.96 : x
  2. Step 2: Convert to fraction form
    743.02/1,113.53 = 413.96/x
  3. Step 3: Cross multiply
    743.02x = 1,113.53 × 413.96
  4. Step 4: Simplify right side
    743.02x = 460,949.24
  5. Step 5: Solve for x
    x = 460,949.24/743.02
  6. Step 6: Final answer
    x = 620.37

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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.