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Finding the Fourth Proportional to 1,413.67, 2,120.52 and 439.66

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Solution

The fourth proportional to 1,413.67, 2,120.52 and 439.66 is: 659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.67 : 2,120.52 = 439.66 : x
  2. Step 2: Convert to fraction form
    1,413.67/2,120.52 = 439.66/x
  3. Step 3: Cross multiply
    1,413.67x = 2,120.52 × 439.66
  4. Step 4: Simplify right side
    1,413.67x = 932,307.82
  5. Step 5: Solve for x
    x = 932,307.82/1,413.67
  6. Step 6: Final answer
    x = 659.49

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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.