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Finding the Fourth Proportional to 720.96, 1,082.52 and 413.16

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Solution

The fourth proportional to 720.96, 1,082.52 and 413.16 is: 620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 1,082.52 = 413.16 : x
  2. Step 2: Convert to fraction form
    720.96/1,082.52 = 413.16/x
  3. Step 3: Cross multiply
    720.96x = 1,082.52 × 413.16
  4. Step 4: Simplify right side
    720.96x = 447,246.48
  5. Step 5: Solve for x
    x = 447,246.48/720.96
  6. Step 6: Final answer
    x = 620.35

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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.