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Finding the Fourth Proportional to 1,609.26, 2,413.81 and 455.01

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Solution

The fourth proportional to 1,609.26, 2,413.81 and 455.01 is: 682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.26 : 2,413.81 = 455.01 : x
  2. Step 2: Convert to fraction form
    1,609.26/2,413.81 = 455.01/x
  3. Step 3: Cross multiply
    1,609.26x = 2,413.81 × 455.01
  4. Step 4: Simplify right side
    1,609.26x = 1,098,307.69
  5. Step 5: Solve for x
    x = 1,098,307.69/1,609.26
  6. Step 6: Final answer
    x = 682.49

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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.