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Finding the Fourth Proportional to 1,609.72, 2,413.12 and 583.48

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Solution

The fourth proportional to 1,609.72, 2,413.12 and 583.48 is: 874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.72 : 2,413.12 = 583.48 : x
  2. Step 2: Convert to fraction form
    1,609.72/2,413.12 = 583.48/x
  3. Step 3: Cross multiply
    1,609.72x = 2,413.12 × 583.48
  4. Step 4: Simplify right side
    1,609.72x = 1,408,007.26
  5. Step 5: Solve for x
    x = 1,408,007.26/1,609.72
  6. Step 6: Final answer
    x = 874.69

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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.