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Finding the Fourth Proportional to 1,337.42, 2,006.31 and 413.06

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Solution

The fourth proportional to 1,337.42, 2,006.31 and 413.06 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.42 : 2,006.31 = 413.06 : x
  2. Step 2: Convert to fraction form
    1,337.42/2,006.31 = 413.06/x
  3. Step 3: Cross multiply
    1,337.42x = 2,006.31 × 413.06
  4. Step 4: Simplify right side
    1,337.42x = 828,716.38
  5. Step 5: Solve for x
    x = 828,716.38/1,337.42
  6. Step 6: Final answer
    x = 619.64

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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.