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Finding the Fourth Proportional to 1,413.42, 2,119.72 and 535.78

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Solution

The fourth proportional to 1,413.42, 2,119.72 and 535.78 is: 803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.42 : 2,119.72 = 535.78 : x
  2. Step 2: Convert to fraction form
    1,413.42/2,119.72 = 535.78/x
  3. Step 3: Cross multiply
    1,413.42x = 2,119.72 × 535.78
  4. Step 4: Simplify right side
    1,413.42x = 1,135,703.58
  5. Step 5: Solve for x
    x = 1,135,703.58/1,413.42
  6. Step 6: Final answer
    x = 803.51

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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.