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Finding the Fourth Proportional to 1,609.02, 2,413.64 and 513.48

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Solution

The fourth proportional to 1,609.02, 2,413.64 and 513.48 is: 770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.02 : 2,413.64 = 513.48 : x
  2. Step 2: Convert to fraction form
    1,609.02/2,413.64 = 513.48/x
  3. Step 3: Cross multiply
    1,609.02x = 2,413.64 × 513.48
  4. Step 4: Simplify right side
    1,609.02x = 1,239,355.87
  5. Step 5: Solve for x
    x = 1,239,355.87/1,609.02
  6. Step 6: Final answer
    x = 770.26

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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.