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Finding the Fourth Proportional to 1,062.87, 1,594.31 and 413.60

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Solution

The fourth proportional to 1,062.87, 1,594.31 and 413.60 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.87 : 1,594.31 = 413.60 : x
  2. Step 2: Convert to fraction form
    1,062.87/1,594.31 = 413.60/x
  3. Step 3: Cross multiply
    1,062.87x = 1,594.31 × 413.60
  4. Step 4: Simplify right side
    1,062.87x = 659,408.53
  5. Step 5: Solve for x
    x = 659,408.53/1,062.87
  6. Step 6: Final answer
    x = 620.40

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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.