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Finding the Fourth Proportional to 720.95, 1,080.57 and 413.01

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Solution

The fourth proportional to 720.95, 1,080.57 and 413.01 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.95 : 1,080.57 = 413.01 : x
  2. Step 2: Convert to fraction form
    720.95/1,080.57 = 413.01/x
  3. Step 3: Cross multiply
    720.95x = 1,080.57 × 413.01
  4. Step 4: Simplify right side
    720.95x = 446,286.22
  5. Step 5: Solve for x
    x = 446,286.22/720.95
  6. Step 6: Final answer
    x = 619.03

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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.